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Finding the Fourth Proportional to 3,241.62, 4,862.16 and 1,782

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Solution

The fourth proportional to 3,241.62, 4,862.16 and 1,782 is: 2,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.62 : 4,862.16 = 1,782 : x
  2. Step 2: Convert to fraction form
    3,241.62/4,862.16 = 1,782/x
  3. Step 3: Cross multiply
    3,241.62x = 4,862.16 × 1,782
  4. Step 4: Simplify right side
    3,241.62x = 8,664,369.12
  5. Step 5: Solve for x
    x = 8,664,369.12/3,241.62
  6. Step 6: Final answer
    x = 2,672.85

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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.