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Finding the Fourth Proportional to 22,141.88, 33,218.05 and 8,815.64

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Solution

The fourth proportional to 22,141.88, 33,218.05 and 8,815.64 is: 13,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.88 : 33,218.05 = 8,815.64 : x
  2. Step 2: Convert to fraction form
    22,141.88/33,218.05 = 8,815.64/x
  3. Step 3: Cross multiply
    22,141.88x = 33,218.05 × 8,815.64
  4. Step 4: Simplify right side
    22,141.88x = 292,838,309.30
  5. Step 5: Solve for x
    x = 292,838,309.30/22,141.88
  6. Step 6: Final answer
    x = 13,225.54

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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.