Question

If you know the ratio of inches to centimeters is 1 to 2.54, how can you find the number of centimeters equivalent to 9 inches? What is the relationship between centimeters and inches?

Answer 1

centimeters  = inches * 2.54

9 inches is equivalent to 9*2.54 = 22.86 centimeters

Answer 2

Ratios are used to show the relationship of variables that are in proportions.

• The equivalent of 9 inches is 22.86 centimeter
• The relationship between them is: $Centimeter= 2.54 \times Inches$

Given that:

$Inches : Centimeter = 1: 2.54$

Multiply the ratio by 9, to calculate the equivalent of 9 inches

$Inches : Centimeter = 1 \times 9: 2.54 \times 9$

$Inches : Centimeter = 9: 22.86$

Hence, the equivalent of 9 inches is 22.86 centimeter

The relationship between both is as follows:

$Inches : Centimeter = 1: 2.54$

Rewrite as:

$\frac{Inches}{Centimeter} = \frac{1}{2.54}$

Cross multiply

$Centimeter \times 1 = 2.54 \times Inches$

$Centimeter= 2.54 \times Inches$

Hence, the relationship between them is: $Centimeter= 2.54 \times Inches$

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