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Finding the Fourth Proportional to 3,199.92, 4,800.42 and 1,815.96

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Solution

The fourth proportional to 3,199.92, 4,800.42 and 1,815.96 is: 2,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.92 : 4,800.42 = 1,815.96 : x
  2. Step 2: Convert to fraction form
    3,199.92/4,800.42 = 1,815.96/x
  3. Step 3: Cross multiply
    3,199.92x = 4,800.42 × 1,815.96
  4. Step 4: Simplify right side
    3,199.92x = 8,717,370.70
  5. Step 5: Solve for x
    x = 8,717,370.70/3,199.92
  6. Step 6: Final answer
    x = 2,724.25

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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.