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Finding the Fourth Proportional to 3,043.61, 4,198.02 and 2,942.00

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Solution

The fourth proportional to 3,043.61, 4,198.02 and 2,942.00 is: 4,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.61 : 4,198.02 = 2,942.00 : x
  2. Step 2: Convert to fraction form
    3,043.61/4,198.02 = 2,942.00/x
  3. Step 3: Cross multiply
    3,043.61x = 4,198.02 × 2,942.00
  4. Step 4: Simplify right side
    3,043.61x = 12,350,553.85
  5. Step 5: Solve for x
    x = 12,350,553.85/3,043.61
  6. Step 6: Final answer
    x = 4,057.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.