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Finding the Fourth Proportional to 12,107.92, 18,158.04 and 3,898

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Solution

The fourth proportional to 12,107.92, 18,158.04 and 3,898 is: 5,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.92 : 18,158.04 = 3,898 : x
  2. Step 2: Convert to fraction form
    12,107.92/18,158.04 = 3,898/x
  3. Step 3: Cross multiply
    12,107.92x = 18,158.04 × 3,898
  4. Step 4: Simplify right side
    12,107.92x = 70,780,039.92
  5. Step 5: Solve for x
    x = 70,780,039.92/12,107.92
  6. Step 6: Final answer
    x = 5,845.76

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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.