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Finding the Fourth Proportional to 3,831.78, 5,750.52 and 2,846.87

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Solution

The fourth proportional to 3,831.78, 5,750.52 and 2,846.87 is: 4,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.78 : 5,750.52 = 2,846.87 : x
  2. Step 2: Convert to fraction form
    3,831.78/5,750.52 = 2,846.87/x
  3. Step 3: Cross multiply
    3,831.78x = 5,750.52 × 2,846.87
  4. Step 4: Simplify right side
    3,831.78x = 16,370,954.12
  5. Step 5: Solve for x
    x = 16,370,954.12/3,831.78
  6. Step 6: Final answer
    x = 4,272.41

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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.