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Finding the Fourth Proportional to 22,007, 33,010.78 and 8,156

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Solution

The fourth proportional to 22,007, 33,010.78 and 8,156 is: 12,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007 : 33,010.78 = 8,156 : x
  2. Step 2: Convert to fraction form
    22,007/33,010.78 = 8,156/x
  3. Step 3: Cross multiply
    22,007x = 33,010.78 × 8,156
  4. Step 4: Simplify right side
    22,007x = 269,235,921.68
  5. Step 5: Solve for x
    x = 269,235,921.68/22,007
  6. Step 6: Final answer
    x = 12,234.10

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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.