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Finding the Fourth Proportional to 31,882.60, 47,822.04 and 12,163.15

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Solution

The fourth proportional to 31,882.60, 47,822.04 and 12,163.15 is: 18,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.60 : 47,822.04 = 12,163.15 : x
  2. Step 2: Convert to fraction form
    31,882.60/47,822.04 = 12,163.15/x
  3. Step 3: Cross multiply
    31,882.60x = 47,822.04 × 12,163.15
  4. Step 4: Simplify right side
    31,882.60x = 581,666,645.83
  5. Step 5: Solve for x
    x = 581,666,645.83/31,882.60
  6. Step 6: Final answer
    x = 18,244.02

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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.