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Finding the Fourth Proportional to 13,963.81, 20,942.47 and 4,100.44

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Solution

The fourth proportional to 13,963.81, 20,942.47 and 4,100.44 is: 6,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.81 : 20,942.47 = 4,100.44 : x
  2. Step 2: Convert to fraction form
    13,963.81/20,942.47 = 4,100.44/x
  3. Step 3: Cross multiply
    13,963.81x = 20,942.47 × 4,100.44
  4. Step 4: Simplify right side
    13,963.81x = 85,873,341.69
  5. Step 5: Solve for x
    x = 85,873,341.69/13,963.81
  6. Step 6: Final answer
    x = 6,149.71

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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.