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Finding the Fourth Proportional to 3,203.72, 4,800.78 and 2,229.32

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Solution

The fourth proportional to 3,203.72, 4,800.78 and 2,229.32 is: 3,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.72 : 4,800.78 = 2,229.32 : x
  2. Step 2: Convert to fraction form
    3,203.72/4,800.78 = 2,229.32/x
  3. Step 3: Cross multiply
    3,203.72x = 4,800.78 × 2,229.32
  4. Step 4: Simplify right side
    3,203.72x = 10,702,474.87
  5. Step 5: Solve for x
    x = 10,702,474.87/3,203.72
  6. Step 6: Final answer
    x = 3,340.64

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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.