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Finding the Fourth Proportional to 3,831.36, 5,747.24 and 1,637.88

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Solution

The fourth proportional to 3,831.36, 5,747.24 and 1,637.88 is: 2,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.36 : 5,747.24 = 1,637.88 : x
  2. Step 2: Convert to fraction form
    3,831.36/5,747.24 = 1,637.88/x
  3. Step 3: Cross multiply
    3,831.36x = 5,747.24 × 1,637.88
  4. Step 4: Simplify right side
    3,831.36x = 9,413,293.55
  5. Step 5: Solve for x
    x = 9,413,293.55/3,831.36
  6. Step 6: Final answer
    x = 2,456.91

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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.