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Finding the Fourth Proportional to 10,839.92, 14,959.04 and 5,871.92

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Solution

The fourth proportional to 10,839.92, 14,959.04 and 5,871.92 is: 8,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.92 : 14,959.04 = 5,871.92 : x
  2. Step 2: Convert to fraction form
    10,839.92/14,959.04 = 5,871.92/x
  3. Step 3: Cross multiply
    10,839.92x = 14,959.04 × 5,871.92
  4. Step 4: Simplify right side
    10,839.92x = 87,838,286.16
  5. Step 5: Solve for x
    x = 87,838,286.16/10,839.92
  6. Step 6: Final answer
    x = 8,103.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.