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Finding the Fourth Proportional to 3,998.43, 5,995.08 and 1,660.05

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Solution

The fourth proportional to 3,998.43, 5,995.08 and 1,660.05 is: 2,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.43 : 5,995.08 = 1,660.05 : x
  2. Step 2: Convert to fraction form
    3,998.43/5,995.08 = 1,660.05/x
  3. Step 3: Cross multiply
    3,998.43x = 5,995.08 × 1,660.05
  4. Step 4: Simplify right side
    3,998.43x = 9,952,140.27
  5. Step 5: Solve for x
    x = 9,952,140.27/3,998.43
  6. Step 6: Final answer
    x = 2,489.01

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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.