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Finding the Fourth Proportional to 8,389.78, 12,584.97 and 2,546.44

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Solution

The fourth proportional to 8,389.78, 12,584.97 and 2,546.44 is: 3,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.78 : 12,584.97 = 2,546.44 : x
  2. Step 2: Convert to fraction form
    8,389.78/12,584.97 = 2,546.44/x
  3. Step 3: Cross multiply
    8,389.78x = 12,584.97 × 2,546.44
  4. Step 4: Simplify right side
    8,389.78x = 32,046,839.54
  5. Step 5: Solve for x
    x = 32,046,839.54/8,389.78
  6. Step 6: Final answer
    x = 3,819.75

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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.