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Finding the Fourth Proportional to 8,252, 12,379.92 and 2,780

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Solution

The fourth proportional to 8,252, 12,379.92 and 2,780 is: 4,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 12,379.92 = 2,780 : x
  2. Step 2: Convert to fraction form
    8,252/12,379.92 = 2,780/x
  3. Step 3: Cross multiply
    8,252x = 12,379.92 × 2,780
  4. Step 4: Simplify right side
    8,252x = 34,416,177.60
  5. Step 5: Solve for x
    x = 34,416,177.60/8,252
  6. Step 6: Final answer
    x = 4,170.65

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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.