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Finding the Fourth Proportional to 31,787.68, 47,687.70 and 9,602.80

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Solution

The fourth proportional to 31,787.68, 47,687.70 and 9,602.80 is: 14,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.68 : 47,687.70 = 9,602.80 : x
  2. Step 2: Convert to fraction form
    31,787.68/47,687.70 = 9,602.80/x
  3. Step 3: Cross multiply
    31,787.68x = 47,687.70 × 9,602.80
  4. Step 4: Simplify right side
    31,787.68x = 457,935,445.56
  5. Step 5: Solve for x
    x = 457,935,445.56/31,787.68
  6. Step 6: Final answer
    x = 14,406.07

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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.