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Finding the Fourth Proportional to 38,017.92, 57,023.04 and 13,392

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Solution

The fourth proportional to 38,017.92, 57,023.04 and 13,392 is: 20,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.92 : 57,023.04 = 13,392 : x
  2. Step 2: Convert to fraction form
    38,017.92/57,023.04 = 13,392/x
  3. Step 3: Cross multiply
    38,017.92x = 57,023.04 × 13,392
  4. Step 4: Simplify right side
    38,017.92x = 763,652,551.68
  5. Step 5: Solve for x
    x = 763,652,551.68/38,017.92
  6. Step 6: Final answer
    x = 20,086.65

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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.