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Finding the Fourth Proportional to 3,588.38, 5,382.57 and 991.31

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Solution

The fourth proportional to 3,588.38, 5,382.57 and 991.31 is: 1,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.38 : 5,382.57 = 991.31 : x
  2. Step 2: Convert to fraction form
    3,588.38/5,382.57 = 991.31/x
  3. Step 3: Cross multiply
    3,588.38x = 5,382.57 × 991.31
  4. Step 4: Simplify right side
    3,588.38x = 5,335,805.21
  5. Step 5: Solve for x
    x = 5,335,805.21/3,588.38
  6. Step 6: Final answer
    x = 1,486.97

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.