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Finding the Fourth Proportional to 12,144, 18,215.68 and 3,378.56

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Solution

The fourth proportional to 12,144, 18,215.68 and 3,378.56 is: 5,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144 : 18,215.68 = 3,378.56 : x
  2. Step 2: Convert to fraction form
    12,144/18,215.68 = 3,378.56/x
  3. Step 3: Cross multiply
    12,144x = 18,215.68 × 3,378.56
  4. Step 4: Simplify right side
    12,144x = 61,542,767.82
  5. Step 5: Solve for x
    x = 61,542,767.82/12,144
  6. Step 6: Final answer
    x = 5,067.75

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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.