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Finding the Fourth Proportional to 2,605.74, 3,906.99 and 1,372.38

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Solution

The fourth proportional to 2,605.74, 3,906.99 and 1,372.38 is: 2,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.74 : 3,906.99 = 1,372.38 : x
  2. Step 2: Convert to fraction form
    2,605.74/3,906.99 = 1,372.38/x
  3. Step 3: Cross multiply
    2,605.74x = 3,906.99 × 1,372.38
  4. Step 4: Simplify right side
    2,605.74x = 5,361,874.94
  5. Step 5: Solve for x
    x = 5,361,874.94/2,605.74
  6. Step 6: Final answer
    x = 2,057.72

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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.