Question

Determine which ratio forms a proportion with 10/6 by using cross products.

A: 20/12.
B: 12/10.
C: 15/8.
D: 5/4.

Answer 1

Option D: 5/4 forms a proportion with 10/6.

Step-by-step explanation:

In order to determine which ratio forms a proportion with 10/6, we can use cross products. Cross products involves multiplying the numerator of one ratio with the denominator of the other ratio.

1. For option A: 20/12, the cross products would be (20 * 6) and (10 * 12). If these products are equal, it forms a proportion. However, (20 * 6) is not equal to (10 * 12), so it is not a proportion.
2. For option B: 12/10, the cross products would be (12 * 6) and (10 * 10). If these products are equal, it forms a proportion. However, (12 * 6) is not equal to (10 * 10), so it is not a proportion.
3. For option C: 15/8, the cross products would be (15 * 6) and (10 * 8). If these products are equal, it forms a proportion. However, (15 * 6) is not equal to (10 * 8), so it is not a proportion.
4. For option D: 5/4, the cross products would be (5 * 6) and (10 * 4). If these products are equal, it forms a proportion. And indeed, (5 * 6) is equal to (10 * 4), so option D forms a proportion with 10/6.

Therefore, the ratio that forms a proportion with 10/6 is option D: 5/4.