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Finding the Fourth Proportional to 38,265.92, 57,404.64 and 13,640

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Solution

The fourth proportional to 38,265.92, 57,404.64 and 13,640 is: 20,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.92 : 57,404.64 = 13,640 : x
  2. Step 2: Convert to fraction form
    38,265.92/57,404.64 = 13,640/x
  3. Step 3: Cross multiply
    38,265.92x = 57,404.64 × 13,640
  4. Step 4: Simplify right side
    38,265.92x = 782,999,289.60
  5. Step 5: Solve for x
    x = 782,999,289.60/38,265.92
  6. Step 6: Final answer
    x = 20,462.05

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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.