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Finding the Fourth Proportional to 3,327.69, 4,991.44 and 862.42

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Solution

The fourth proportional to 3,327.69, 4,991.44 and 862.42 is: 1,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.69 : 4,991.44 = 862.42 : x
  2. Step 2: Convert to fraction form
    3,327.69/4,991.44 = 862.42/x
  3. Step 3: Cross multiply
    3,327.69x = 4,991.44 × 862.42
  4. Step 4: Simplify right side
    3,327.69x = 4,304,717.68
  5. Step 5: Solve for x
    x = 4,304,717.68/3,327.69
  6. Step 6: Final answer
    x = 1,293.61

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1.5x scale

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.