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Finding the Fourth Proportional to 2,512.80, 3,769.80 and 1,280.40

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Solution

The fourth proportional to 2,512.80, 3,769.80 and 1,280.40 is: 1,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.80 : 3,769.80 = 1,280.40 : x
  2. Step 2: Convert to fraction form
    2,512.80/3,769.80 = 1,280.40/x
  3. Step 3: Cross multiply
    2,512.80x = 3,769.80 × 1,280.40
  4. Step 4: Simplify right side
    2,512.80x = 4,826,851.92
  5. Step 5: Solve for x
    x = 4,826,851.92/2,512.80
  6. Step 6: Final answer
    x = 1,920.91

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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.