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Finding the Fourth Proportional to 3,268.80, 4,906.80 and 1,807.20

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Solution

The fourth proportional to 3,268.80, 4,906.80 and 1,807.20 is: 2,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.80 : 4,906.80 = 1,807.20 : x
  2. Step 2: Convert to fraction form
    3,268.80/4,906.80 = 1,807.20/x
  3. Step 3: Cross multiply
    3,268.80x = 4,906.80 × 1,807.20
  4. Step 4: Simplify right side
    3,268.80x = 8,867,568.96
  5. Step 5: Solve for x
    x = 8,867,568.96/3,268.80
  6. Step 6: Final answer
    x = 2,712.79

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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.