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Finding the Fourth Proportional to 3,831.72, 5,744.87 and 1,489.78

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Solution

The fourth proportional to 3,831.72, 5,744.87 and 1,489.78 is: 2,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.72 : 5,744.87 = 1,489.78 : x
  2. Step 2: Convert to fraction form
    3,831.72/5,744.87 = 1,489.78/x
  3. Step 3: Cross multiply
    3,831.72x = 5,744.87 × 1,489.78
  4. Step 4: Simplify right side
    3,831.72x = 8,558,592.43
  5. Step 5: Solve for x
    x = 8,558,592.43/3,831.72
  6. Step 6: Final answer
    x = 2,233.62

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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.