Question

Which equation correctly shows the multiplication of the means and extremes in the proportion 7.2∕9.6 = 21.6∕28.8?

A) 7.2 ⋅ 9.6 = 21.6 ⋅ 28.8
B) 7.2 ⋅ 21.6 = 28.8 ⋅ 9.6
C) 9.6 ⋅ 21.6 = 28.8 ⋅ 7.2
D) 7.2 ⋅ 28.8 = 21.6 ⋅ 28.8

Answer 1

The correct equation is B) 7.2 × 28.8 = 21.6 × 9.6, which demonstrates that the multiplication of the means and extremes in the given proportion results in equal products, confirming the proportion.

Step-by-step explanation:

The equation that correctly shows the multiplication of the means and extremes in the given proportion 7.2/9.6 = 21.6/28.8 is:

B) 7.2 × 28.8 = 21.6 × 9.6

In a proportion, the product of the means (the middle terms) is equal to the product of the extremes (the outermost terms). So, cross multiplying both sides (right numerator x left denominator = left numerator x right denominator), we get:

7.2 × 28.8 = 21.6 × 9.6

Which simplifies to:

206.496 = 206.496

This confirms that the products are equal, proving the proportion is correct.