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Finding the Fourth Proportional to 3,279, 4,912.50 and 2,577.72

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Solution

The fourth proportional to 3,279, 4,912.50 and 2,577.72 is: 3,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279 : 4,912.50 = 2,577.72 : x
  2. Step 2: Convert to fraction form
    3,279/4,912.50 = 2,577.72/x
  3. Step 3: Cross multiply
    3,279x = 4,912.50 × 2,577.72
  4. Step 4: Simplify right side
    3,279x = 12,663,049.50
  5. Step 5: Solve for x
    x = 12,663,049.50/3,279
  6. Step 6: Final answer
    x = 3,861.86

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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.