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Finding the Fourth Proportional to 3,716.83, 5,129.99 and 2,144.71

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Solution

The fourth proportional to 3,716.83, 5,129.99 and 2,144.71 is: 2,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.83 : 5,129.99 = 2,144.71 : x
  2. Step 2: Convert to fraction form
    3,716.83/5,129.99 = 2,144.71/x
  3. Step 3: Cross multiply
    3,716.83x = 5,129.99 × 2,144.71
  4. Step 4: Simplify right side
    3,716.83x = 11,002,340.85
  5. Step 5: Solve for x
    x = 11,002,340.85/3,716.83
  6. Step 6: Final answer
    x = 2,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.