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Finding the Fourth Proportional to 22,138.65, 33,203.30 and 8,105.31

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Solution

The fourth proportional to 22,138.65, 33,203.30 and 8,105.31 is: 12,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.65 : 33,203.30 = 8,105.31 : x
  2. Step 2: Convert to fraction form
    22,138.65/33,203.30 = 8,105.31/x
  3. Step 3: Cross multiply
    22,138.65x = 33,203.30 × 8,105.31
  4. Step 4: Simplify right side
    22,138.65x = 269,123,039.52
  5. Step 5: Solve for x
    x = 269,123,039.52/22,138.65
  6. Step 6: Final answer
    x = 12,156.25

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1.5x scale

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.