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Finding the Fourth Proportional to 2,758.68, 4,138.64 and 1,372.80

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Solution

The fourth proportional to 2,758.68, 4,138.64 and 1,372.80 is: 2,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.68 : 4,138.64 = 1,372.80 : x
  2. Step 2: Convert to fraction form
    2,758.68/4,138.64 = 1,372.80/x
  3. Step 3: Cross multiply
    2,758.68x = 4,138.64 × 1,372.80
  4. Step 4: Simplify right side
    2,758.68x = 5,681,524.99
  5. Step 5: Solve for x
    x = 5,681,524.99/2,758.68
  6. Step 6: Final answer
    x = 2,059.51

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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.