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Finding the Fourth Proportional to 2,760.80, 4,129.20 and 2,470.40

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Solution

The fourth proportional to 2,760.80, 4,129.20 and 2,470.40 is: 3,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.80 : 4,129.20 = 2,470.40 : x
  2. Step 2: Convert to fraction form
    2,760.80/4,129.20 = 2,470.40/x
  3. Step 3: Cross multiply
    2,760.80x = 4,129.20 × 2,470.40
  4. Step 4: Simplify right side
    2,760.80x = 10,200,775.68
  5. Step 5: Solve for x
    x = 10,200,775.68/2,760.80
  6. Step 6: Final answer
    x = 3,694.86

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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.