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Finding the Fourth Proportional to 3,997.57, 5,998.29 and 1,659.37

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Solution

The fourth proportional to 3,997.57, 5,998.29 and 1,659.37 is: 2,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.57 : 5,998.29 = 1,659.37 : x
  2. Step 2: Convert to fraction form
    3,997.57/5,998.29 = 1,659.37/x
  3. Step 3: Cross multiply
    3,997.57x = 5,998.29 × 1,659.37
  4. Step 4: Simplify right side
    3,997.57x = 9,953,382.48
  5. Step 5: Solve for x
    x = 9,953,382.48/3,997.57
  6. Step 6: Final answer
    x = 2,489.86

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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.