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Finding the Fourth Proportional to 31,866.38, 47,799.40 and 8,173.82

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Solution

The fourth proportional to 31,866.38, 47,799.40 and 8,173.82 is: 12,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.38 : 47,799.40 = 8,173.82 : x
  2. Step 2: Convert to fraction form
    31,866.38/47,799.40 = 8,173.82/x
  3. Step 3: Cross multiply
    31,866.38x = 47,799.40 × 8,173.82
  4. Step 4: Simplify right side
    31,866.38x = 390,703,691.71
  5. Step 5: Solve for x
    x = 390,703,691.71/31,866.38
  6. Step 6: Final answer
    x = 12,260.69

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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.