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Finding the Fourth Proportional to 22,282, 33,436.88 and 20,205.78

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Solution

The fourth proportional to 22,282, 33,436.88 and 20,205.78 is: 30,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282 : 33,436.88 = 20,205.78 : x
  2. Step 2: Convert to fraction form
    22,282/33,436.88 = 20,205.78/x
  3. Step 3: Cross multiply
    22,282x = 33,436.88 × 20,205.78
  4. Step 4: Simplify right side
    22,282x = 675,618,241.17
  5. Step 5: Solve for x
    x = 675,618,241.17/22,282
  6. Step 6: Final answer
    x = 30,321.26

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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.