Question

Which ratios form a proportion? Use equivalent ratios to test each pair.

Answer 1

Ratios form a proportion when they are equivalent, meaning that they have the same value. To test if two ratios form a proportion, you can cross-multiply and check if the products are equal.

For example, let's consider the ratios 2:3 and 4:6. To test if they form a proportion, we cross-multiply:

2 * 6 = 12
3 * 4 = 12

Since the products are equal, the ratios 2:3 and 4:6 form a proportion.

Here are a few more examples:

1. 3:4 and 6:8
Cross-multiplying:
3 * 8 = 24
4 * 6 = 24
Since the products are equal, the ratios 3:4 and 6:8 form a proportion.

2. 5:7 and 10:14
Cross-multiplying:
5 * 14 = 70
7 * 10 = 70
Since the products are equal, the ratios 5:7 and 10:14 form a proportion.

3. 2:5 and 8:20
Cross-multiplying:
2 * 20 = 40
5 * 8 = 40
Since the products are equal, the ratios 2:5 and 8:20 form a proportion.

In conclusion, ratios form a proportion when you can cross-multiply and obtain equal products.