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Finding the Fourth Proportional to 31,913.46, 47,871.98 and 9,727.56

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Solution

The fourth proportional to 31,913.46, 47,871.98 and 9,727.56 is: 14,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.46 : 47,871.98 = 9,727.56 : x
  2. Step 2: Convert to fraction form
    31,913.46/47,871.98 = 9,727.56/x
  3. Step 3: Cross multiply
    31,913.46x = 47,871.98 × 9,727.56
  4. Step 4: Simplify right side
    31,913.46x = 465,677,557.77
  5. Step 5: Solve for x
    x = 465,677,557.77/31,913.46
  6. Step 6: Final answer
    x = 14,591.89

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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.