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Finding the Fourth Proportional to 8,524.78, 12,787.20 and 2,368.78

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Solution

The fourth proportional to 8,524.78, 12,787.20 and 2,368.78 is: 3,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.78 : 12,787.20 = 2,368.78 : x
  2. Step 2: Convert to fraction form
    8,524.78/12,787.20 = 2,368.78/x
  3. Step 3: Cross multiply
    8,524.78x = 12,787.20 × 2,368.78
  4. Step 4: Simplify right side
    8,524.78x = 30,290,063.62
  5. Step 5: Solve for x
    x = 30,290,063.62/8,524.78
  6. Step 6: Final answer
    x = 3,553.18

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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.