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Finding the Fourth Proportional to 31,987.86, 47,981.72 and 8,614.32

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Solution

The fourth proportional to 31,987.86, 47,981.72 and 8,614.32 is: 12,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.86 : 47,981.72 = 8,614.32 : x
  2. Step 2: Convert to fraction form
    31,987.86/47,981.72 = 8,614.32/x
  3. Step 3: Cross multiply
    31,987.86x = 47,981.72 × 8,614.32
  4. Step 4: Simplify right side
    31,987.86x = 413,329,890.23
  5. Step 5: Solve for x
    x = 413,329,890.23/31,987.86
  6. Step 6: Final answer
    x = 12,921.46

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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.