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Finding the Fourth Proportional to 10,640.78, 15,961.15 and 6,424.87

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Solution

The fourth proportional to 10,640.78, 15,961.15 and 6,424.87 is: 9,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.78 : 15,961.15 = 6,424.87 : x
  2. Step 2: Convert to fraction form
    10,640.78/15,961.15 = 6,424.87/x
  3. Step 3: Cross multiply
    10,640.78x = 15,961.15 × 6,424.87
  4. Step 4: Simplify right side
    10,640.78x = 102,548,313.80
  5. Step 5: Solve for x
    x = 102,548,313.80/10,640.78
  6. Step 6: Final answer
    x = 9,637.29

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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.