Online Ratios and Proportions Online Tutors

Online Ratios and Proportions Online Tutors Ratio is the quantitative comparison between quantitates. Proportion is a fixed ratio between two substances. Proportion always maintains a fixed ratio between two fractions. For example, a / b = c / d. It can be written as a : b = c : d. This can also be called as the proportion formula. Proportion in math is defined as the similarity while comparison between two quantities or substances. Example 1: Find the y in the given ratio and proportion 3 : y = 12 : 9. Solution: Here the given proportion is 3 : y = 12 : 9. It can be expressed as a fraction in the form. 3 / y = 12 / 9 Now multiply both sides of the equation by y. This gives 3 = 12 y / 9. Now multiply both sides of the equation by 9. This gives 12 y = 27. Now divide both sides of the equation by 12. So y = 27/12. Hence the value of y for the given proportion = 9/4. Example 2: Find the x in the proportion x : 5 = 1 : 2. Solution: Here the given proportion is x : 5 = 1 : 2. It can be expressed as a fraction in the form. This gives, x / 5 = 1 / 2 Now multiply both sides of the equation by 5. This gives 5 (x/ 5) = (1 / 2) (5). x = 5/2. Hence the value of x for the given proportion is 5/2.