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Finding the Fourth Proportional to 31,687.56, 47,497.68 and 11,957.76

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Solution

The fourth proportional to 31,687.56, 47,497.68 and 11,957.76 is: 17,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.56 : 47,497.68 = 11,957.76 : x
  2. Step 2: Convert to fraction form
    31,687.56/47,497.68 = 11,957.76/x
  3. Step 3: Cross multiply
    31,687.56x = 47,497.68 × 11,957.76
  4. Step 4: Simplify right side
    31,687.56x = 567,965,858.00
  5. Step 5: Solve for x
    x = 567,965,858.00/31,687.56
  6. Step 6: Final answer
    x = 17,923.94

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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.