Question

State if each pair of ratios forms a proportion. 3/2 and 18/8

Answer 1

The ratios 3/2 and 18/8 do not form a proportion because their cross-products are not equal (24 does not equal 36).

Step-by-step explanation:

To determine if the pair of ratios 3/2 and 18/8 forms a proportion, we need to check if they are equivalent. Two ratios are proportional if the cross-products are equal. This means that for ratios a/b and c/d, if a × d = b × c, then the ratios form a proportion.

For the given ratios 3/2 and 18/8, we will calculate the cross-products:

• 3 × 8 = 24,
• 2 × 18 = 36.

Since 24 does not equal 36, the pair of ratios 3/2 and 18/8 do not form a proportion.