Proportion Definition Math

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Proportion in math is defined as the similarity while comparison between two quantities or substances. Proportion is also used between two geometric objects where the shapes, sizes, lengths can be compared. Proportion is a fixed ratio between two objects. Proportionality always maintains a fixed ratio between two fractions. For example, a / b = c / d. It can be written as a : b = c : d.

Example 1: Find the x in the proportion 5 : x = 4 : 3.

Solution: Here the given proportion is 5 : x = 4 : 3.

It can be expressed as a fraction in the form.

5 / x = 4 / 3

Now multiply both sides of the equation by x.

This gives 5 = 4 x /3.

Now multiply both sides of the equation by 3.

This gives 4 x = 15.

Now divide both sides of the equation by 4.

So x = 15 / 4.

Hence the value of x for the given proportion = 15/4.
 
Example 2: Find the x in the proportion x : 2 = 7 :4.

Solution: Here the given proportion is x : 2 = 7 :4.

It can be expressed as a fraction in the form.

This gives, x / 2 = 7 / 4

Now multiply both sides of the equation by 2.

This gives 2(x/ 2) = (7 / 4) (2).

 x = 7 / 2.

Hence the value of x for the given proportion is= 7/2.

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