To determine which pair of ratios forms a proportion, we can use cross products.
The cross product is calculated by multiplying the numerator of one ratio by the denominator of the other ratio. If the cross products are equal, then the ratios form a proportion.
Let's go through the options one by one:
a) 3.8/4.7 = 34.2/32.9
To find the cross products, we multiply 3.8 by 32.9 and 4.7 by 34.2:
3.8 × 32.9 = 125.02
4.7 × 34.2 = 160.74
Since the cross products are not equal (125.02 ≠ 160.74), this pair of ratios does not form a proportion.
b) 3.8/4.7 = 30.4/37.6
The cross products are:
3.8 × 37.6 = 142.88
4.7 × 30.4 = 143.68
Since the cross products are not equal (142.88 ≠ 143.68), this pair of ratios does not form a proportion.
c) 3.8/4.7 = 34.2/47
The cross products are:
3.8 × 47 = 178.6
4.7 × 34.2 = 160.74
Since the cross products are not equal (178.6 ≠ 160.74), this pair of ratios does not form a proportion.
d) 3.8/4.7 = 26.6/37.6
The cross products are:
3.8 × 37.6 = 142.88
4.7 × 26.6 = 125.02
Since the cross products are equal (142.88 = 142.88), this pair of ratios does form a proportion.
Therefore, the correct answer is option d) 3.8/4.7 = 26.6/37.6.