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Finding the Fourth Proportional to 3,997.64, 5,998.86 and 1,689.14

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Solution

The fourth proportional to 3,997.64, 5,998.86 and 1,689.14 is: 2,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.64 : 5,998.86 = 1,689.14 : x
  2. Step 2: Convert to fraction form
    3,997.64/5,998.86 = 1,689.14/x
  3. Step 3: Cross multiply
    3,997.64x = 5,998.86 × 1,689.14
  4. Step 4: Simplify right side
    3,997.64x = 10,132,914.38
  5. Step 5: Solve for x
    x = 10,132,914.38/3,997.64
  6. Step 6: Final answer
    x = 2,534.72

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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.