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Finding the Fourth Proportional to 2,574, 3,861 and 1,183.14

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Solution

The fourth proportional to 2,574, 3,861 and 1,183.14 is: 1,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,861 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    2,574/3,861 = 1,183.14/x
  3. Step 3: Cross multiply
    2,574x = 3,861 × 1,183.14
  4. Step 4: Simplify right side
    2,574x = 4,568,103.54
  5. Step 5: Solve for x
    x = 4,568,103.54/2,574
  6. Step 6: Final answer
    x = 1,774.71

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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.