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Finding the Fourth Proportional to 3,815.32, 5,727.84 and 3,241.84

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Solution

The fourth proportional to 3,815.32, 5,727.84 and 3,241.84 is: 4,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.32 : 5,727.84 = 3,241.84 : x
  2. Step 2: Convert to fraction form
    3,815.32/5,727.84 = 3,241.84/x
  3. Step 3: Cross multiply
    3,815.32x = 5,727.84 × 3,241.84
  4. Step 4: Simplify right side
    3,815.32x = 18,568,740.83
  5. Step 5: Solve for x
    x = 18,568,740.83/3,815.32
  6. Step 6: Final answer
    x = 4,866.89

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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.