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Finding the Fourth Proportional to 21,437.98, 32,156.98 and 11,581.90

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Solution

The fourth proportional to 21,437.98, 32,156.98 and 11,581.90 is: 17,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,437.98 : 32,156.98 = 11,581.90 : x
  2. Step 2: Convert to fraction form
    21,437.98/32,156.98 = 11,581.90/x
  3. Step 3: Cross multiply
    21,437.98x = 32,156.98 × 11,581.90
  4. Step 4: Simplify right side
    21,437.98x = 372,438,926.66
  5. Step 5: Solve for x
    x = 372,438,926.66/21,437.98
  6. Step 6: Final answer
    x = 17,372.86

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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.