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Finding the Fourth Proportional to 3,327.68, 4,991.47 and 862.30

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Solution

The fourth proportional to 3,327.68, 4,991.47 and 862.30 is: 1,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.68 : 4,991.47 = 862.30 : x
  2. Step 2: Convert to fraction form
    3,327.68/4,991.47 = 862.30/x
  3. Step 3: Cross multiply
    3,327.68x = 4,991.47 × 862.30
  4. Step 4: Simplify right side
    3,327.68x = 4,304,125.44
  5. Step 5: Solve for x
    x = 4,304,125.44/3,327.68
  6. Step 6: Final answer
    x = 1,293.43

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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.