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Q16

Expert-verifiedFound in: Page 603

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**”.

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

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

Cross multiply the numbers.

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

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”.

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