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Finding the Fourth Proportional to 2,758.72, 4,138.80 and 1,220.80

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Solution

The fourth proportional to 2,758.72, 4,138.80 and 1,220.80 is: 1,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.72 : 4,138.80 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    2,758.72/4,138.80 = 1,220.80/x
  3. Step 3: Cross multiply
    2,758.72x = 4,138.80 × 1,220.80
  4. Step 4: Simplify right side
    2,758.72x = 5,052,647.04
  5. Step 5: Solve for x
    x = 5,052,647.04/2,758.72
  6. Step 6: Final answer
    x = 1,831.52

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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.