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Finding the Fourth Proportional to 13,824.72, 20,737.44 and 3,963.60

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Solution

The fourth proportional to 13,824.72, 20,737.44 and 3,963.60 is: 5,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.72 : 20,737.44 = 3,963.60 : x
  2. Step 2: Convert to fraction form
    13,824.72/20,737.44 = 3,963.60/x
  3. Step 3: Cross multiply
    13,824.72x = 20,737.44 × 3,963.60
  4. Step 4: Simplify right side
    13,824.72x = 82,194,917.18
  5. Step 5: Solve for x
    x = 82,194,917.18/13,824.72
  6. Step 6: Final answer
    x = 5,945.50

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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.