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Finding the Fourth Proportional to 4,229.87, 6,347.11 and 1,764.91

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Solution

The fourth proportional to 4,229.87, 6,347.11 and 1,764.91 is: 2,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.87 : 6,347.11 = 1,764.91 : x
  2. Step 2: Convert to fraction form
    4,229.87/6,347.11 = 1,764.91/x
  3. Step 3: Cross multiply
    4,229.87x = 6,347.11 × 1,764.91
  4. Step 4: Simplify right side
    4,229.87x = 11,202,062.25
  5. Step 5: Solve for x
    x = 11,202,062.25/4,229.87
  6. Step 6: Final answer
    x = 2,648.32

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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.