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Finding the Fourth Proportional to 2,758.78, 4,138.23 and 1,027.06

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Solution

The fourth proportional to 2,758.78, 4,138.23 and 1,027.06 is: 1,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.78 : 4,138.23 = 1,027.06 : x
  2. Step 2: Convert to fraction form
    2,758.78/4,138.23 = 1,027.06/x
  3. Step 3: Cross multiply
    2,758.78x = 4,138.23 × 1,027.06
  4. Step 4: Simplify right side
    2,758.78x = 4,250,210.50
  5. Step 5: Solve for x
    x = 4,250,210.50/2,758.78
  6. Step 6: Final answer
    x = 1,540.61

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1.5x scale

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.