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Finding the Fourth Proportional to 10,490.52, 15,735.84 and 3,909

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Solution

The fourth proportional to 10,490.52, 15,735.84 and 3,909 is: 5,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.52 : 15,735.84 = 3,909 : x
  2. Step 2: Convert to fraction form
    10,490.52/15,735.84 = 3,909/x
  3. Step 3: Cross multiply
    10,490.52x = 15,735.84 × 3,909
  4. Step 4: Simplify right side
    10,490.52x = 61,511,398.56
  5. Step 5: Solve for x
    x = 61,511,398.56/10,490.52
  6. Step 6: Final answer
    x = 5,863.52

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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.