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Finding the Fourth Proportional to 6,517.40, 8,992.62 and 3,865.66

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Solution

The fourth proportional to 6,517.40, 8,992.62 and 3,865.66 is: 5,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.40 : 8,992.62 = 3,865.66 : x
  2. Step 2: Convert to fraction form
    6,517.40/8,992.62 = 3,865.66/x
  3. Step 3: Cross multiply
    6,517.40x = 8,992.62 × 3,865.66
  4. Step 4: Simplify right side
    6,517.40x = 34,762,388.95
  5. Step 5: Solve for x
    x = 34,762,388.95/6,517.40
  6. Step 6: Final answer
    x = 5,333.79

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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.