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Finding the Fourth Proportional to 2,605.99, 3,908.56 and 1,144.87

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Solution

The fourth proportional to 2,605.99, 3,908.56 and 1,144.87 is: 1,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.99 : 3,908.56 = 1,144.87 : x
  2. Step 2: Convert to fraction form
    2,605.99/3,908.56 = 1,144.87/x
  3. Step 3: Cross multiply
    2,605.99x = 3,908.56 × 1,144.87
  4. Step 4: Simplify right side
    2,605.99x = 4,474,793.09
  5. Step 5: Solve for x
    x = 4,474,793.09/2,605.99
  6. Step 6: Final answer
    x = 1,717.12

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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.