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Finding the Fourth Proportional to 3,976, 5,487.36 and 2,320

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Solution

The fourth proportional to 3,976, 5,487.36 and 2,320 is: 3,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976 : 5,487.36 = 2,320 : x
  2. Step 2: Convert to fraction form
    3,976/5,487.36 = 2,320/x
  3. Step 3: Cross multiply
    3,976x = 5,487.36 × 2,320
  4. Step 4: Simplify right side
    3,976x = 12,730,675.20
  5. Step 5: Solve for x
    x = 12,730,675.20/3,976
  6. Step 6: Final answer
    x = 3,201.88

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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.