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Finding the Fourth Proportional to 22,153.46, 33,220.41 and 8,109.83

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Solution

The fourth proportional to 22,153.46, 33,220.41 and 8,109.83 is: 12,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.46 : 33,220.41 = 8,109.83 : x
  2. Step 2: Convert to fraction form
    22,153.46/33,220.41 = 8,109.83/x
  3. Step 3: Cross multiply
    22,153.46x = 33,220.41 × 8,109.83
  4. Step 4: Simplify right side
    22,153.46x = 269,411,711.53
  5. Step 5: Solve for x
    x = 269,411,711.53/22,153.46
  6. Step 6: Final answer
    x = 12,161.16

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Double scale
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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.