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Finding the Fourth Proportional to 31,686.72, 43,731 and 23,715

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Solution

The fourth proportional to 31,686.72, 43,731 and 23,715 is: 32,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.72 : 43,731 = 23,715 : x
  2. Step 2: Convert to fraction form
    31,686.72/43,731 = 23,715/x
  3. Step 3: Cross multiply
    31,686.72x = 43,731 × 23,715
  4. Step 4: Simplify right side
    31,686.72x = 1,037,080,665
  5. Step 5: Solve for x
    x = 1,037,080,665/31,686.72
  6. Step 6: Final answer
    x = 32,729.19

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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.