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Finding the Fourth Proportional to 2,758.88, 4,138.50 and 1,027.52

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Solution

The fourth proportional to 2,758.88, 4,138.50 and 1,027.52 is: 1,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.88 : 4,138.50 = 1,027.52 : x
  2. Step 2: Convert to fraction form
    2,758.88/4,138.50 = 1,027.52/x
  3. Step 3: Cross multiply
    2,758.88x = 4,138.50 × 1,027.52
  4. Step 4: Simplify right side
    2,758.88x = 4,252,391.52
  5. Step 5: Solve for x
    x = 4,252,391.52/2,758.88
  6. Step 6: Final answer
    x = 1,541.35

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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.