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Finding the Fourth Proportional to 38,240, 57,385.92 and 13,616

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Solution

The fourth proportional to 38,240, 57,385.92 and 13,616 is: 20,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 57,385.92 = 13,616 : x
  2. Step 2: Convert to fraction form
    38,240/57,385.92 = 13,616/x
  3. Step 3: Cross multiply
    38,240x = 57,385.92 × 13,616
  4. Step 4: Simplify right side
    38,240x = 781,366,686.72
  5. Step 5: Solve for x
    x = 781,366,686.72/38,240
  6. Step 6: Final answer
    x = 20,433.23

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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.