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Finding the Fourth Proportional to 3,067.11, 4,601.43 and 987.30

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Solution

The fourth proportional to 3,067.11, 4,601.43 and 987.30 is: 1,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.11 : 4,601.43 = 987.30 : x
  2. Step 2: Convert to fraction form
    3,067.11/4,601.43 = 987.30/x
  3. Step 3: Cross multiply
    3,067.11x = 4,601.43 × 987.30
  4. Step 4: Simplify right side
    3,067.11x = 4,542,991.84
  5. Step 5: Solve for x
    x = 4,542,991.84/3,067.11
  6. Step 6: Final answer
    x = 1,481.20

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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.