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Finding the Fourth Proportional to 6,408.68, 9,611.17 and 2,459.66

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Solution

The fourth proportional to 6,408.68, 9,611.17 and 2,459.66 is: 3,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.68 : 9,611.17 = 2,459.66 : x
  2. Step 2: Convert to fraction form
    6,408.68/9,611.17 = 2,459.66/x
  3. Step 3: Cross multiply
    6,408.68x = 9,611.17 × 2,459.66
  4. Step 4: Simplify right side
    6,408.68x = 23,640,198.10
  5. Step 5: Solve for x
    x = 23,640,198.10/6,408.68
  6. Step 6: Final answer
    x = 3,688.78

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1.5x scale

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.