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Finding the Fourth Proportional to 3,486.50, 4,807.94 and 3,198.38

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Solution

The fourth proportional to 3,486.50, 4,807.94 and 3,198.38 is: 4,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.50 : 4,807.94 = 3,198.38 : x
  2. Step 2: Convert to fraction form
    3,486.50/4,807.94 = 3,198.38/x
  3. Step 3: Cross multiply
    3,486.50x = 4,807.94 × 3,198.38
  4. Step 4: Simplify right side
    3,486.50x = 15,377,579.11
  5. Step 5: Solve for x
    x = 15,377,579.11/3,486.50
  6. Step 6: Final answer
    x = 4,410.61

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Why These Related Problems?

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