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Expert-verified Found in: Page 603 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.$\frac{2}{3}$ and $\frac{4}{9}$

The given pair of ratios does not form a proportion. So, final answer is “no”.

See the step by step solution

## Step 1. Define a ratio.

The ratio of the two numbers x and y is defined as $x:y=\frac{x}{y}$, where, $y\ne 0$.

## Step 2. Use cross products to determine whether the pair of ratios ab and cd forms a proportion.

The pair of ratio $\frac{a}{b}$ and $\frac{c}{d}$ forms a proportion if, $a.d=b.c$.

## Step 3. Use cross products to determine whether the pair of ratios 23 and 49 forms a proportion.

Cross multiply the numbers.

$\begin{array}{c}2×9=18\\ 3×4=12\end{array}$

Since, $18\ne 12$

Hence, the ratios $\frac{2}{3}$ and $\frac{4}{9}$ are not in proportion.

Therefore, the given pair of ratios does not form a proportion. So, final answer is “no”. ### Want to see more solutions like these? 