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Finding the Fourth Proportional to 2,605.92, 3,898.11 and 2,138.45

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Solution

The fourth proportional to 2,605.92, 3,898.11 and 2,138.45 is: 3,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.92 : 3,898.11 = 2,138.45 : x
  2. Step 2: Convert to fraction form
    2,605.92/3,898.11 = 2,138.45/x
  3. Step 3: Cross multiply
    2,605.92x = 3,898.11 × 2,138.45
  4. Step 4: Simplify right side
    2,605.92x = 8,335,913.33
  5. Step 5: Solve for x
    x = 8,335,913.33/2,605.92
  6. Step 6: Final answer
    x = 3,198.84

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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.