Chapter 12, Problem 12QC

To determine

To calculate:To determine whether the pair of ratios forms a proportion.

Answer to Problem 12QC

Pair of ratios are in proportion

Explanation of Solution

Given information:Pair of ratios is $\frac{3}{4}$ and $\frac{39}{52}$

Formula Used: Proportion is a statement when two ratios are equal. It can be written in two ways:

  $\frac{a}{b}=\frac{c}{d}$ or $a:b=c:d$

Also, if the cross product two ratios are equal, then ratios are in Proportio

Calculation:

Pair of ratios is given as follows:

  $\frac{3}{4}$ and $\frac{39}{52}$

Finding the cross product of above ratios:

  $\begin{array}{l}3\times 52=156\\ 4\times 39=156\end{array}$

Since $3\times 52=4\times 39$

Since the cross product of ratios are equal, thus the pair of ratios are in proportion

Conclusion:

Hence, pair of ratios are in proportion