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Finding the Fourth Proportional to 38,508, 57,753.12 and 12,207.84

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Solution

The fourth proportional to 38,508, 57,753.12 and 12,207.84 is: 18,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508 : 57,753.12 = 12,207.84 : x
  2. Step 2: Convert to fraction form
    38,508/57,753.12 = 12,207.84/x
  3. Step 3: Cross multiply
    38,508x = 57,753.12 × 12,207.84
  4. Step 4: Simplify right side
    38,508x = 705,040,848.46
  5. Step 5: Solve for x
    x = 705,040,848.46/38,508
  6. Step 6: Final answer
    x = 18,308.94

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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.