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Finding the Fourth Proportional to 3,198.24, 4,787.64 and 2,958.48

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Solution

The fourth proportional to 3,198.24, 4,787.64 and 2,958.48 is: 4,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.24 : 4,787.64 = 2,958.48 : x
  2. Step 2: Convert to fraction form
    3,198.24/4,787.64 = 2,958.48/x
  3. Step 3: Cross multiply
    3,198.24x = 4,787.64 × 2,958.48
  4. Step 4: Simplify right side
    3,198.24x = 14,164,137.19
  5. Step 5: Solve for x
    x = 14,164,137.19/3,198.24
  6. Step 6: Final answer
    x = 4,428.73

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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.