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Finding the Fourth Proportional to 3,998.31, 5,996.62 and 1,076.64

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Solution

The fourth proportional to 3,998.31, 5,996.62 and 1,076.64 is: 1,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.31 : 5,996.62 = 1,076.64 : x
  2. Step 2: Convert to fraction form
    3,998.31/5,996.62 = 1,076.64/x
  3. Step 3: Cross multiply
    3,998.31x = 5,996.62 × 1,076.64
  4. Step 4: Simplify right side
    3,998.31x = 6,456,165.59
  5. Step 5: Solve for x
    x = 6,456,165.59/3,998.31
  6. Step 6: Final answer
    x = 1,614.73

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1.5x scale

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.