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Finding the Fourth Proportional to 31,660, 43,704.24 and 19,729.24

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Solution

The fourth proportional to 31,660, 43,704.24 and 19,729.24 is: 27,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660 : 43,704.24 = 19,729.24 : x
  2. Step 2: Convert to fraction form
    31,660/43,704.24 = 19,729.24/x
  3. Step 3: Cross multiply
    31,660x = 43,704.24 × 19,729.24
  4. Step 4: Simplify right side
    31,660x = 862,251,439.98
  5. Step 5: Solve for x
    x = 862,251,439.98/31,660
  6. Step 6: Final answer
    x = 27,234.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.