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Finding the Fourth Proportional to 3,997.64, 5,511.84 and 3,287

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Solution

The fourth proportional to 3,997.64, 5,511.84 and 3,287 is: 4,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.64 : 5,511.84 = 3,287 : x
  2. Step 2: Convert to fraction form
    3,997.64/5,511.84 = 3,287/x
  3. Step 3: Cross multiply
    3,997.64x = 5,511.84 × 3,287
  4. Step 4: Simplify right side
    3,997.64x = 18,117,418.08
  5. Step 5: Solve for x
    x = 18,117,418.08/3,997.64
  6. Step 6: Final answer
    x = 4,532.03

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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.