Proportion is a mathematical approach that is mainly described depending on the fraction concepts. These proportions are mainly utilized in the areas to compare the quantities like physics and cooking. Proportion is a statement that contains equal two similar ratios. Through this article, we can find the various types of proportions present and also a Few example problems which are beneficial for the 6th Grade Math students regarding the Concept of Proportions.
Proportion – Definition
Usually, the proportion is a statement that is employed for telling where the two Ratios are Equal. We can do it by employing cross Multiplication. These Proportions are indicated with the symbol “::” otherwise with the Symbol “=”.
Types of Proportion
Depending on the kind of Relationship two or several Quantities divide, there are three types of proportion which are as shown below.
1). Direct Proportion: It elucidates the straight relationship in the middle of the two quantities. Shortly, as there is an Increase in one Quantity it leads to an increase in another Quantity. Here the two quantities are Expressed symbolically as p ∝ q.(i.e. P is directly proportional to q).
2). Inverse Proportion: It elucidates the indirect relationship in the middle of the two quantities. Simply as there is an Increase in one Quantity it leads to a Decrease in another Quantity. Here the two quantities are Expressed symbolically as p ∝ 1/ q.(i.e. P is inversely proportional to q).
3). Continued Proportion: A proportion where the successive of every ratio is the antecedent of further.
Do Read:
Proportion Formula
The proportion is calculated by using the formula as shown below p : q :: r : s. It is also written as p / q = r / s. Here q and r were known as mean Terms, similarly, p and s are extreme terms.
Proportion Examples
Question 1.
The duration consumed by the Bus for covering 45km per hour is equal to the duration taken by the Bus to cover the distance of 225kilometres for 4 hours?
Solution:
Given that bus covers the number of kilometers for one hour = 45kilometres
Duration of the bus for 4 hours = 225kilometres
As we know the proportion Formula and implementing it as shown below.
p / q = r / s
45km/ 1 hour = 225km/4hrs.
Question 2.
If 4,5,6 and X are in Proportion. Then what is the value of X and how to calculate it?
Solution:
According to the data given 4, 5, 6 are x are four given terms. As per the Proportion Formula p / q = r / s.
By cross multiplying it we get the p x s = r x q which is nothing but the Product of extreme terms and mean Terms.
4 x X = 5 x 6
4 X = 30
x = 7.5 is the Resultant fourth value which is in proportion
Question 3.
Verify whether the given statement 8 / 2 = 4 / 5 is a proportion?
Solution:
8, 2, 4, and 5 are four given terms. then by cross multiplying it as shown below.
8 x 5 = 2 x 4
40 = 8
Hence the Given statement is not a proportion.
FAQ’s on the Concept of Proportion
1). What is a proportion?
Proportion is a concept where the two ratios are identical or similar.
2). What is a symbol that indicates the proportion?
The symbol to indicate the proportion is:: (or) with the symbol as =.
3). How many types are proportions are present?
There are three types of proportions i.e. Direct, Indirect, and continued proportions.
4).when a proportion is considered harmonious?
If there is a right relationship in the elements with the concern quantity or size.
5). How the proportion is mentioned?
Proportion is mentioned as an Equation.
6). What is the keyword employed for distinguishing?
“Out of ” is a keyword to distinguish.