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Finding the Fourth Proportional to 6,517.90, 8,992.70 and 3,996

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Solution

The fourth proportional to 6,517.90, 8,992.70 and 3,996 is: 5,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.90 : 8,992.70 = 3,996 : x
  2. Step 2: Convert to fraction form
    6,517.90/8,992.70 = 3,996/x
  3. Step 3: Cross multiply
    6,517.90x = 8,992.70 × 3,996
  4. Step 4: Simplify right side
    6,517.90x = 35,934,829.20
  5. Step 5: Solve for x
    x = 35,934,829.20/6,517.90
  6. Step 6: Final answer
    x = 5,513.25

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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.