Use cross products to determine which ratio forms a proportion with 9/4
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2 points
5/3
27/12
36/20
18/4
To determine which ratio forms a proportion with 9/4 using cross products, we need to find the ratio whose cross product is equal to the cross product of 9/4.
The cross product of 9/4 can be found by multiplying the numerator of one ratio by the denominator of the other ratio:
(9/4)(3) = 27/4
Now let's check the cross products of the other ratios:
1) (5/3)(4) = 20/3
2) (27/12)(4) = 108/12 = 9
3) (36/20)(4) = 144/20 = 36/5
4) (18/4)(3) = 54/4 = 27/2
So the ratio that forms a proportion with 9/4 is 27/12.