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Finding the Fourth Proportional to 3,067.80, 4,601.72 and 1,119.20

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Solution

The fourth proportional to 3,067.80, 4,601.72 and 1,119.20 is: 1,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.80 : 4,601.72 = 1,119.20 : x
  2. Step 2: Convert to fraction form
    3,067.80/4,601.72 = 1,119.20/x
  3. Step 3: Cross multiply
    3,067.80x = 4,601.72 × 1,119.20
  4. Step 4: Simplify right side
    3,067.80x = 5,150,245.02
  5. Step 5: Solve for x
    x = 5,150,245.02/3,067.80
  6. Step 6: Final answer
    x = 1,678.81

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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.