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Finding the Fourth Proportional to 22,418.64, 33,615 and 9,280.44

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Solution

The fourth proportional to 22,418.64, 33,615 and 9,280.44 is: 13,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,418.64 : 33,615 = 9,280.44 : x
  2. Step 2: Convert to fraction form
    22,418.64/33,615 = 9,280.44/x
  3. Step 3: Cross multiply
    22,418.64x = 33,615 × 9,280.44
  4. Step 4: Simplify right side
    22,418.64x = 311,961,990.60
  5. Step 5: Solve for x
    x = 311,961,990.60/22,418.64
  6. Step 6: Final answer
    x = 13,915.30

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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.