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Finding the Fourth Proportional to 6,408.70, 9,611.25 and 3,121.90

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Solution

The fourth proportional to 6,408.70, 9,611.25 and 3,121.90 is: 4,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.70 : 9,611.25 = 3,121.90 : x
  2. Step 2: Convert to fraction form
    6,408.70/9,611.25 = 3,121.90/x
  3. Step 3: Cross multiply
    6,408.70x = 9,611.25 × 3,121.90
  4. Step 4: Simplify right side
    6,408.70x = 30,005,361.38
  5. Step 5: Solve for x
    x = 30,005,361.38/6,408.70
  6. Step 6: Final answer
    x = 4,681.97

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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.