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Finding the Fourth Proportional to 3,831.81, 5,743.64 and 2,184.81

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Solution

The fourth proportional to 3,831.81, 5,743.64 and 2,184.81 is: 3,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.81 : 5,743.64 = 2,184.81 : x
  2. Step 2: Convert to fraction form
    3,831.81/5,743.64 = 2,184.81/x
  3. Step 3: Cross multiply
    3,831.81x = 5,743.64 × 2,184.81
  4. Step 4: Simplify right side
    3,831.81x = 12,548,772.72
  5. Step 5: Solve for x
    x = 12,548,772.72/3,831.81
  6. Step 6: Final answer
    x = 3,274.89

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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.