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To determine the value of (y) such that the numbers 39, 117, 17, and (y) are in proportion, we can set up the proportion as follows:
[
frac{39}{117} = frac{17}{y}
]
To solve for (y), we can cross-multiply:
[
39y = 117 times 17
]
Calculating (117 times 17):
[
117 times 17 = 1989
]
Now substituting back:
[
39y = 1989
]
Next, we’ll solve for (y) by dividing both sides by 39:
[
y = frac{1989}{39}
]
Calculating (frac{1989}{39}):
[
y = 51
]
Thus, the value of (y) is (51).