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Finding the Fourth Proportional to 31,711, 43,761.18 and 18,463

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Solution

The fourth proportional to 31,711, 43,761.18 and 18,463 is: 25,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711 : 43,761.18 = 18,463 : x
  2. Step 2: Convert to fraction form
    31,711/43,761.18 = 18,463/x
  3. Step 3: Cross multiply
    31,711x = 43,761.18 × 18,463
  4. Step 4: Simplify right side
    31,711x = 807,962,666.34
  5. Step 5: Solve for x
    x = 807,962,666.34/31,711
  6. Step 6: Final answer
    x = 25,478.94

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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.