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Finding the Fourth Proportional to 38,308.66, 57,463 and 12,015.46

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Solution

The fourth proportional to 38,308.66, 57,463 and 12,015.46 is: 18,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308.66 : 57,463 = 12,015.46 : x
  2. Step 2: Convert to fraction form
    38,308.66/57,463 = 12,015.46/x
  3. Step 3: Cross multiply
    38,308.66x = 57,463 × 12,015.46
  4. Step 4: Simplify right side
    38,308.66x = 690,444,377.98
  5. Step 5: Solve for x
    x = 690,444,377.98/38,308.66
  6. Step 6: Final answer
    x = 18,023.19

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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.