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Finding the Fourth Proportional to 38,149.28, 57,223.92 and 13,508

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Solution

The fourth proportional to 38,149.28, 57,223.92 and 13,508 is: 20,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.28 : 57,223.92 = 13,508 : x
  2. Step 2: Convert to fraction form
    38,149.28/57,223.92 = 13,508/x
  3. Step 3: Cross multiply
    38,149.28x = 57,223.92 × 13,508
  4. Step 4: Simplify right side
    38,149.28x = 772,980,711.36
  5. Step 5: Solve for x
    x = 772,980,711.36/38,149.28
  6. Step 6: Final answer
    x = 20,262

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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.