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Finding the Fourth Proportional to 6,428.57, 9,635.76 and 3,649.25

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Solution

The fourth proportional to 6,428.57, 9,635.76 and 3,649.25 is: 5,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.57 : 9,635.76 = 3,649.25 : x
  2. Step 2: Convert to fraction form
    6,428.57/9,635.76 = 3,649.25/x
  3. Step 3: Cross multiply
    6,428.57x = 9,635.76 × 3,649.25
  4. Step 4: Simplify right side
    6,428.57x = 35,163,321.27
  5. Step 5: Solve for x
    x = 35,163,321.27/6,428.57
  6. Step 6: Final answer
    x = 5,469.86

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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.