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Finding the Fourth Proportional to 10,691.71, 14,753.29 and 5,911.01

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Solution

The fourth proportional to 10,691.71, 14,753.29 and 5,911.01 is: 8,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.71 : 14,753.29 = 5,911.01 : x
  2. Step 2: Convert to fraction form
    10,691.71/14,753.29 = 5,911.01/x
  3. Step 3: Cross multiply
    10,691.71x = 14,753.29 × 5,911.01
  4. Step 4: Simplify right side
    10,691.71x = 87,206,844.72
  5. Step 5: Solve for x
    x = 87,206,844.72/10,691.71
  6. Step 6: Final answer
    x = 8,156.49

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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.