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Finding the Fourth Proportional to 22,512, 33,769.68 and 8,661

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Solution

The fourth proportional to 22,512, 33,769.68 and 8,661 is: 12,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512 : 33,769.68 = 8,661 : x
  2. Step 2: Convert to fraction form
    22,512/33,769.68 = 8,661/x
  3. Step 3: Cross multiply
    22,512x = 33,769.68 × 8,661
  4. Step 4: Simplify right side
    22,512x = 292,479,198.48
  5. Step 5: Solve for x
    x = 292,479,198.48/22,512
  6. Step 6: Final answer
    x = 12,992.15

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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.