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Finding the Fourth Proportional to 21,481, 32,198.46 and 8,997.88

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Solution

The fourth proportional to 21,481, 32,198.46 and 8,997.88 is: 13,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481 : 32,198.46 = 8,997.88 : x
  2. Step 2: Convert to fraction form
    21,481/32,198.46 = 8,997.88/x
  3. Step 3: Cross multiply
    21,481x = 32,198.46 × 8,997.88
  4. Step 4: Simplify right side
    21,481x = 289,717,879.26
  5. Step 5: Solve for x
    x = 289,717,879.26/21,481
  6. Step 6: Final answer
    x = 13,487.17

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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.