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Finding the Fourth Proportional to 38,591.78, 57,891.92 and 12,290.47

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Solution

The fourth proportional to 38,591.78, 57,891.92 and 12,290.47 is: 18,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.78 : 57,891.92 = 12,290.47 : x
  2. Step 2: Convert to fraction form
    38,591.78/57,891.92 = 12,290.47/x
  3. Step 3: Cross multiply
    38,591.78x = 57,891.92 × 12,290.47
  4. Step 4: Simplify right side
    38,591.78x = 711,518,699.82
  5. Step 5: Solve for x
    x = 711,518,699.82/38,591.78
  6. Step 6: Final answer
    x = 18,437.06

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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.