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Finding the Fourth Proportional to 21,806.31, 32,723.80 and 11,952.56

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Solution

The fourth proportional to 21,806.31, 32,723.80 and 11,952.56 is: 17,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.31 : 32,723.80 = 11,952.56 : x
  2. Step 2: Convert to fraction form
    21,806.31/32,723.80 = 11,952.56/x
  3. Step 3: Cross multiply
    21,806.31x = 32,723.80 × 11,952.56
  4. Step 4: Simplify right side
    21,806.31x = 391,133,234.86
  5. Step 5: Solve for x
    x = 391,133,234.86/21,806.31
  6. Step 6: Final answer
    x = 17,936.70

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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.