Question

Use cross products to determine which ratio forms a proportion with nine force is it 5/3, 27/12 or 36/20 or 18/4

Answer 1

To determine if a ratio forms a proportion with nine force, we need to compare the cross products of the ratio.

If a ratio is in proportion, then the cross products are equal.

For the ratio 5/3:
Cross product: (5)(9) = 45

For the ratio 27/12:
Cross product: (27)(9) = 243

For the ratio 36/20:
Cross product: (36)(9) = 324

For the ratio 18/4:
Cross product: (18)(9) = 162

Comparing the cross products with nine force, we find that 5/3 is not in proportion since the cross product is 45, which is not equal to 9.

However, the ratios 27/12, 36/20, and 18/4 all have cross products equal to 9. So, these ratios form a proportion with nine force.