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Finding the Fourth Proportional to 31,635.76, 47,472 and 12,912.88

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Solution

The fourth proportional to 31,635.76, 47,472 and 12,912.88 is: 19,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.76 : 47,472 = 12,912.88 : x
  2. Step 2: Convert to fraction form
    31,635.76/47,472 = 12,912.88/x
  3. Step 3: Cross multiply
    31,635.76x = 47,472 × 12,912.88
  4. Step 4: Simplify right side
    31,635.76x = 613,000,239.36
  5. Step 5: Solve for x
    x = 613,000,239.36/31,635.76
  6. Step 6: Final answer
    x = 19,376.81

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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.