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Finding the Fourth Proportional to 8,251, 12,378.42 and 2,779

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Solution

The fourth proportional to 8,251, 12,378.42 and 2,779 is: 4,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251 : 12,378.42 = 2,779 : x
  2. Step 2: Convert to fraction form
    8,251/12,378.42 = 2,779/x
  3. Step 3: Cross multiply
    8,251x = 12,378.42 × 2,779
  4. Step 4: Simplify right side
    8,251x = 34,399,629.18
  5. Step 5: Solve for x
    x = 34,399,629.18/8,251
  6. Step 6: Final answer
    x = 4,169.15

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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.