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Finding the Fourth Proportional to 2,144.48, 3,218.74 and 1,049.56

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Solution

The fourth proportional to 2,144.48, 3,218.74 and 1,049.56 is: 1,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.48 : 3,218.74 = 1,049.56 : x
  2. Step 2: Convert to fraction form
    2,144.48/3,218.74 = 1,049.56/x
  3. Step 3: Cross multiply
    2,144.48x = 3,218.74 × 1,049.56
  4. Step 4: Simplify right side
    2,144.48x = 3,378,250.08
  5. Step 5: Solve for x
    x = 3,378,250.08/2,144.48
  6. Step 6: Final answer
    x = 1,575.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.