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Finding the Fourth Proportional to 6,891.54, 10,328.03 and 3,766.85

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Solution

The fourth proportional to 6,891.54, 10,328.03 and 3,766.85 is: 5,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.54 : 10,328.03 = 3,766.85 : x
  2. Step 2: Convert to fraction form
    6,891.54/10,328.03 = 3,766.85/x
  3. Step 3: Cross multiply
    6,891.54x = 10,328.03 × 3,766.85
  4. Step 4: Simplify right side
    6,891.54x = 38,904,160.92
  5. Step 5: Solve for x
    x = 38,904,160.92/6,891.54
  6. Step 6: Final answer
    x = 5,645.21

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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.