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Finding the Fourth Proportional to 31,914, 47,871 and 8,539.92

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Solution

The fourth proportional to 31,914, 47,871 and 8,539.92 is: 12,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 47,871 = 8,539.92 : x
  2. Step 2: Convert to fraction form
    31,914/47,871 = 8,539.92/x
  3. Step 3: Cross multiply
    31,914x = 47,871 × 8,539.92
  4. Step 4: Simplify right side
    31,914x = 408,814,510.32
  5. Step 5: Solve for x
    x = 408,814,510.32/31,914
  6. Step 6: Final answer
    x = 12,809.88

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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.