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Finding the Fourth Proportional to 31,382.61, 47,042.10 and 18,843.91

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Solution

The fourth proportional to 31,382.61, 47,042.10 and 18,843.91 is: 28,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.61 : 47,042.10 = 18,843.91 : x
  2. Step 2: Convert to fraction form
    31,382.61/47,042.10 = 18,843.91/x
  3. Step 3: Cross multiply
    31,382.61x = 47,042.10 × 18,843.91
  4. Step 4: Simplify right side
    31,382.61x = 886,456,981.01
  5. Step 5: Solve for x
    x = 886,456,981.01/31,382.61
  6. Step 6: Final answer
    x = 28,246.76

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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.