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Finding the Fourth Proportional to 3,839.32, 5,758.99 and 2,745.82

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Solution

The fourth proportional to 3,839.32, 5,758.99 and 2,745.82 is: 4,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.32 : 5,758.99 = 2,745.82 : x
  2. Step 2: Convert to fraction form
    3,839.32/5,758.99 = 2,745.82/x
  3. Step 3: Cross multiply
    3,839.32x = 5,758.99 × 2,745.82
  4. Step 4: Simplify right side
    3,839.32x = 15,813,150.26
  5. Step 5: Solve for x
    x = 15,813,150.26/3,839.32
  6. Step 6: Final answer
    x = 4,118.74

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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.