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Finding the Fourth Proportional to 21,469.88, 32,204.91 and 8,981.15

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Solution

The fourth proportional to 21,469.88, 32,204.91 and 8,981.15 is: 13,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.88 : 32,204.91 = 8,981.15 : x
  2. Step 2: Convert to fraction form
    21,469.88/32,204.91 = 8,981.15/x
  3. Step 3: Cross multiply
    21,469.88x = 32,204.91 × 8,981.15
  4. Step 4: Simplify right side
    21,469.88x = 289,237,127.45
  5. Step 5: Solve for x
    x = 289,237,127.45/21,469.88
  6. Step 6: Final answer
    x = 13,471.76

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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.