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Finding the Fourth Proportional to 31,475.70, 47,202.67 and 13,957.78

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Solution

The fourth proportional to 31,475.70, 47,202.67 and 13,957.78 is: 20,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.70 : 47,202.67 = 13,957.78 : x
  2. Step 2: Convert to fraction form
    31,475.70/47,202.67 = 13,957.78/x
  3. Step 3: Cross multiply
    31,475.70x = 47,202.67 × 13,957.78
  4. Step 4: Simplify right side
    31,475.70x = 658,844,483.27
  5. Step 5: Solve for x
    x = 658,844,483.27/31,475.70
  6. Step 6: Final answer
    x = 20,931.85

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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.