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Finding the Fourth Proportional to 2,198.63, 3,294.92 and 810.62

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Solution

The fourth proportional to 2,198.63, 3,294.92 and 810.62 is: 1,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.63 : 3,294.92 = 810.62 : x
  2. Step 2: Convert to fraction form
    2,198.63/3,294.92 = 810.62/x
  3. Step 3: Cross multiply
    2,198.63x = 3,294.92 × 810.62
  4. Step 4: Simplify right side
    2,198.63x = 2,670,907.52
  5. Step 5: Solve for x
    x = 2,670,907.52/2,198.63
  6. Step 6: Final answer
    x = 1,214.81

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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.