Use cross products to determine which ratio forms a proportion with 9/4
Responses:
5/3
27/12
36/20
18/4
To determine which ratio forms a proportion with 9/4 using cross products, we will multiply both the numerator and denominator of each ratio by 4 (the denominator of 9/4).
For the first ratio, 5/3, the cross products would be (5 * 4) = 20 and (3 * 9) = 27. Since the cross products (20 and 27) are not equal, 5/3 does not form a proportion with 9/4.
For the second ratio, 27/12, the cross products would be (27 * 4) = 108 and (12 * 9) = 108. Since the cross products (108 and 108) are equal, 27/12 does form a proportion with 9/4.
For the third ratio, 36/20, the cross products would be (36 * 4) = 144 and (20 * 9) = 180. Since the cross products (144 and 180) are not equal, 36/20 does not form a proportion with 9/4.
For the fourth ratio, 18/4, the cross products would be (18 * 4) = 72 and (4 * 9) = 36. Since the cross products (72 and 36) are not equal, 18/4 does not form a proportion with 9/4.
Therefore, the ratio that forms a proportion with 9/4 is 27/12.