To evaluate: the proportions \frac{60}{15}=\frac{12}{y} by cross products property.

To evaluate: the proportions $\frac{60}{15}=\frac{12}{y}$ by cross products property.
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joshyoung05M
Calculation:
The product of the numerator of the ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion or not. If the cross products are equal, then the ratios form a proportion.
$\frac{60}{15}=\frac{12}{y}$ [Write the proportion.]
$60×y=15×12$ [Apply cross products property.]
$60y=180$ [Multiply.]
$\frac{60y}{60}=\frac{180}{60}$ [Divide each side by 24 to place the variable on one side of the equation]
$y=3$ [Simplify.]
Hence, the solution of the proportions $\frac{60}{15}=\frac{12}{y}$ is $y=3$.
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