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Finding the Fourth Proportional to 13,912.39, 20,872 and 4,051.76

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Solution

The fourth proportional to 13,912.39, 20,872 and 4,051.76 is: 6,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.39 : 20,872 = 4,051.76 : x
  2. Step 2: Convert to fraction form
    13,912.39/20,872 = 4,051.76/x
  3. Step 3: Cross multiply
    13,912.39x = 20,872 × 4,051.76
  4. Step 4: Simplify right side
    13,912.39x = 84,568,230.36
  5. Step 5: Solve for x
    x = 84,568,230.36/13,912.39
  6. Step 6: Final answer
    x = 6,078.63

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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.