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Finding the Fourth Proportional to 2,758.53, 4,138.91 and 1,197.71

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Solution

The fourth proportional to 2,758.53, 4,138.91 and 1,197.71 is: 1,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.53 : 4,138.91 = 1,197.71 : x
  2. Step 2: Convert to fraction form
    2,758.53/4,138.91 = 1,197.71/x
  3. Step 3: Cross multiply
    2,758.53x = 4,138.91 × 1,197.71
  4. Step 4: Simplify right side
    2,758.53x = 4,957,213.90
  5. Step 5: Solve for x
    x = 4,957,213.90/2,758.53
  6. Step 6: Final answer
    x = 1,797.05

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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.