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Finding the Fourth Proportional to 6,419.97, 9,622 and 3,638.21

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Solution

The fourth proportional to 6,419.97, 9,622 and 3,638.21 is: 5,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.97 : 9,622 = 3,638.21 : x
  2. Step 2: Convert to fraction form
    6,419.97/9,622 = 3,638.21/x
  3. Step 3: Cross multiply
    6,419.97x = 9,622 × 3,638.21
  4. Step 4: Simplify right side
    6,419.97x = 35,006,856.62
  5. Step 5: Solve for x
    x = 35,006,856.62/6,419.97
  6. Step 6: Final answer
    x = 5,452.81

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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.