To determine if two sets of ratios form a proportion, we need to see if the cross products are equal.
1. For 5:10 and 20:40,
Cross products: 5 x 40 = 200 and 10 x 20 = 200
Since the cross products are equal, 5:10 and 20:40 form a proportion.
2. For 1:8 and 2:18,
Cross products: 1 x 18 = 18 and 8 x 2 = 16
The cross products are not equal, so 1:8 and 2:18 do not form a proportion.
3. For 9:10 and 45:40,
Cross products: 9 x 40 = 360 and 10 x 45 = 450
The cross products are not equal, so 9:10 and 45:40 do not form a proportion.
4. For 1:16 and 3:18,
Cross products: 1 x 18 = 18 and 16 x 3 = 48
The cross products are not equal, so 1:16 and 3:18 do not form a proportion.
Therefore, only the first set of ratios, 5:10 and 20:40, forms a proportion.
Determine which set of ratios forms a proportion.
show work
1. 5:10, 20:40
2. 1:8, 2:18
3. 9:10, 45:40
4. 1:16, 3:18
1 answer