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Finding the Fourth Proportional to 8,250, 12,376.92 and 2,778

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Solution

The fourth proportional to 8,250, 12,376.92 and 2,778 is: 4,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 12,376.92 = 2,778 : x
  2. Step 2: Convert to fraction form
    8,250/12,376.92 = 2,778/x
  3. Step 3: Cross multiply
    8,250x = 12,376.92 × 2,778
  4. Step 4: Simplify right side
    8,250x = 34,383,083.76
  5. Step 5: Solve for x
    x = 34,383,083.76/8,250
  6. Step 6: Final answer
    x = 4,167.65

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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.