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Finding the Fourth Proportional to 38,522.80, 57,789.60 and 12,224.80

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Solution

The fourth proportional to 38,522.80, 57,789.60 and 12,224.80 is: 18,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.80 : 57,789.60 = 12,224.80 : x
  2. Step 2: Convert to fraction form
    38,522.80/57,789.60 = 12,224.80/x
  3. Step 3: Cross multiply
    38,522.80x = 57,789.60 × 12,224.80
  4. Step 4: Simplify right side
    38,522.80x = 706,466,302.08
  5. Step 5: Solve for x
    x = 706,466,302.08/38,522.80
  6. Step 6: Final answer
    x = 18,338.91

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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.