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Finding the Fourth Proportional to 12,241.20, 18,361.80 and 4,449

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Solution

The fourth proportional to 12,241.20, 18,361.80 and 4,449 is: 6,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.20 : 18,361.80 = 4,449 : x
  2. Step 2: Convert to fraction form
    12,241.20/18,361.80 = 4,449/x
  3. Step 3: Cross multiply
    12,241.20x = 18,361.80 × 4,449
  4. Step 4: Simplify right side
    12,241.20x = 81,691,648.20
  5. Step 5: Solve for x
    x = 81,691,648.20/12,241.20
  6. Step 6: Final answer
    x = 6,673.50

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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.