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Finding the Fourth Proportional to 2,583.92, 3,874.66 and 939.30

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Solution

The fourth proportional to 2,583.92, 3,874.66 and 939.30 is: 1,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.92 : 3,874.66 = 939.30 : x
  2. Step 2: Convert to fraction form
    2,583.92/3,874.66 = 939.30/x
  3. Step 3: Cross multiply
    2,583.92x = 3,874.66 × 939.30
  4. Step 4: Simplify right side
    2,583.92x = 3,639,468.14
  5. Step 5: Solve for x
    x = 3,639,468.14/2,583.92
  6. Step 6: Final answer
    x = 1,408.51

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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.