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Finding the Fourth Proportional to 3,272.80, 4,912.80 and 1,811.20

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Solution

The fourth proportional to 3,272.80, 4,912.80 and 1,811.20 is: 2,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.80 : 4,912.80 = 1,811.20 : x
  2. Step 2: Convert to fraction form
    3,272.80/4,912.80 = 1,811.20/x
  3. Step 3: Cross multiply
    3,272.80x = 4,912.80 × 1,811.20
  4. Step 4: Simplify right side
    3,272.80x = 8,898,063.36
  5. Step 5: Solve for x
    x = 8,898,063.36/3,272.80
  6. Step 6: Final answer
    x = 2,718.79

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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.