Chapter 10: Q16 (page 603)

Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{2}{3}$ and $\frac{4}{9}$

Short Answer

Expert verified

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

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, $y \neq 0$ .

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.

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

Since, $18 \neq 12$

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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Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{2}{3}$ and $\frac{4}{9}$

Short Answer

Step by step solution

Step 1. Define a ratio.

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

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

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Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.23and 49

Short Answer

Step by step solution

Step 1. Define a ratio.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Discrete Mathematics

Geometry

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{2}{3}$ and $\frac{4}{9}$