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Finding the Fourth Proportional to 25,393.78, 38,115.24 and 12,255.40

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Solution

The fourth proportional to 25,393.78, 38,115.24 and 12,255.40 is: 18,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.78 : 38,115.24 = 12,255.40 : x
  2. Step 2: Convert to fraction form
    25,393.78/38,115.24 = 12,255.40/x
  3. Step 3: Cross multiply
    25,393.78x = 38,115.24 × 12,255.40
  4. Step 4: Simplify right side
    25,393.78x = 467,117,512.30
  5. Step 5: Solve for x
    x = 467,117,512.30/25,393.78
  6. Step 6: Final answer
    x = 18,394.96

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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.