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Finding the Fourth Proportional to 6,414.76, 9,608.10 and 3,811.96

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Solution

The fourth proportional to 6,414.76, 9,608.10 and 3,811.96 is: 5,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.76 : 9,608.10 = 3,811.96 : x
  2. Step 2: Convert to fraction form
    6,414.76/9,608.10 = 3,811.96/x
  3. Step 3: Cross multiply
    6,414.76x = 9,608.10 × 3,811.96
  4. Step 4: Simplify right side
    6,414.76x = 36,625,692.88
  5. Step 5: Solve for x
    x = 36,625,692.88/6,414.76
  6. Step 6: Final answer
    x = 5,709.60

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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.