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Finding the Fourth Proportional to 22,289, 33,435.12 and 8,438

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Solution

The fourth proportional to 22,289, 33,435.12 and 8,438 is: 12,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 33,435.12 = 8,438 : x
  2. Step 2: Convert to fraction form
    22,289/33,435.12 = 8,438/x
  3. Step 3: Cross multiply
    22,289x = 33,435.12 × 8,438
  4. Step 4: Simplify right side
    22,289x = 282,125,542.56
  5. Step 5: Solve for x
    x = 282,125,542.56/22,289
  6. Step 6: Final answer
    x = 12,657.61

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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.