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Finding the Fourth Proportional to 3,997.20, 6,008.76 and 3,977.76

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Solution

The fourth proportional to 3,997.20, 6,008.76 and 3,977.76 is: 5,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.20 : 6,008.76 = 3,977.76 : x
  2. Step 2: Convert to fraction form
    3,997.20/6,008.76 = 3,977.76/x
  3. Step 3: Cross multiply
    3,997.20x = 6,008.76 × 3,977.76
  4. Step 4: Simplify right side
    3,997.20x = 23,901,405.18
  5. Step 5: Solve for x
    x = 23,901,405.18/3,997.20
  6. Step 6: Final answer
    x = 5,979.54

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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.