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Finding the Fourth Proportional to 31,776, 47,657.20 and 12,047.64

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Solution

The fourth proportional to 31,776, 47,657.20 and 12,047.64 is: 18,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776 : 47,657.20 = 12,047.64 : x
  2. Step 2: Convert to fraction form
    31,776/47,657.20 = 12,047.64/x
  3. Step 3: Cross multiply
    31,776x = 47,657.20 × 12,047.64
  4. Step 4: Simplify right side
    31,776x = 574,156,789.01
  5. Step 5: Solve for x
    x = 574,156,789.01/31,776
  6. Step 6: Final answer
    x = 18,068.88

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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.