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Finding the Fourth Proportional to 38,836, 58,249.04 and 12,538

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Solution

The fourth proportional to 38,836, 58,249.04 and 12,538 is: 18,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,836 : 58,249.04 = 12,538 : x
  2. Step 2: Convert to fraction form
    38,836/58,249.04 = 12,538/x
  3. Step 3: Cross multiply
    38,836x = 58,249.04 × 12,538
  4. Step 4: Simplify right side
    38,836x = 730,326,463.52
  5. Step 5: Solve for x
    x = 730,326,463.52/38,836
  6. Step 6: Final answer
    x = 18,805.40

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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.