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Finding the Fourth Proportional to 3,831.72, 5,747.60 and 2,099.40

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Solution

The fourth proportional to 3,831.72, 5,747.60 and 2,099.40 is: 3,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.72 : 5,747.60 = 2,099.40 : x
  2. Step 2: Convert to fraction form
    3,831.72/5,747.60 = 2,099.40/x
  3. Step 3: Cross multiply
    3,831.72x = 5,747.60 × 2,099.40
  4. Step 4: Simplify right side
    3,831.72x = 12,066,511.44
  5. Step 5: Solve for x
    x = 12,066,511.44/3,831.72
  6. Step 6: Final answer
    x = 3,149.11

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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.