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Finding the Fourth Proportional to 6,287.25, 8,675.87 and 3,454.54

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Solution

The fourth proportional to 6,287.25, 8,675.87 and 3,454.54 is: 4,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.25 : 8,675.87 = 3,454.54 : x
  2. Step 2: Convert to fraction form
    6,287.25/8,675.87 = 3,454.54/x
  3. Step 3: Cross multiply
    6,287.25x = 8,675.87 × 3,454.54
  4. Step 4: Simplify right side
    6,287.25x = 29,971,122.68
  5. Step 5: Solve for x
    x = 29,971,122.68/6,287.25
  6. Step 6: Final answer
    x = 4,766.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.