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Finding the Fourth Proportional to 3,989.09, 5,983.38 and 1,489.79

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Solution

The fourth proportional to 3,989.09, 5,983.38 and 1,489.79 is: 2,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.09 : 5,983.38 = 1,489.79 : x
  2. Step 2: Convert to fraction form
    3,989.09/5,983.38 = 1,489.79/x
  3. Step 3: Cross multiply
    3,989.09x = 5,983.38 × 1,489.79
  4. Step 4: Simplify right side
    3,989.09x = 8,913,979.69
  5. Step 5: Solve for x
    x = 8,913,979.69/3,989.09
  6. Step 6: Final answer
    x = 2,234.59

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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.