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Finding the Fourth Proportional to 8,313.78, 12,471.22 and 2,766.90

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Solution

The fourth proportional to 8,313.78, 12,471.22 and 2,766.90 is: 4,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.78 : 12,471.22 = 2,766.90 : x
  2. Step 2: Convert to fraction form
    8,313.78/12,471.22 = 2,766.90/x
  3. Step 3: Cross multiply
    8,313.78x = 12,471.22 × 2,766.90
  4. Step 4: Simplify right side
    8,313.78x = 34,506,618.62
  5. Step 5: Solve for x
    x = 34,506,618.62/8,313.78
  6. Step 6: Final answer
    x = 4,150.53

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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.