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Finding the Fourth Proportional to 3,893.47, 5,831.39 and 2,223.75

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Solution

The fourth proportional to 3,893.47, 5,831.39 and 2,223.75 is: 3,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.47 : 5,831.39 = 2,223.75 : x
  2. Step 2: Convert to fraction form
    3,893.47/5,831.39 = 2,223.75/x
  3. Step 3: Cross multiply
    3,893.47x = 5,831.39 × 2,223.75
  4. Step 4: Simplify right side
    3,893.47x = 12,967,580.94
  5. Step 5: Solve for x
    x = 12,967,580.94/3,893.47
  6. Step 6: Final answer
    x = 3,330.60

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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.