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Finding the Fourth Proportional to 9,198.78, 13,798.19 and 2,273.28

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Solution

The fourth proportional to 9,198.78, 13,798.19 and 2,273.28 is: 3,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.78 : 13,798.19 = 2,273.28 : x
  2. Step 2: Convert to fraction form
    9,198.78/13,798.19 = 2,273.28/x
  3. Step 3: Cross multiply
    9,198.78x = 13,798.19 × 2,273.28
  4. Step 4: Simplify right side
    9,198.78x = 31,367,149.36
  5. Step 5: Solve for x
    x = 31,367,149.36/9,198.78
  6. Step 6: Final answer
    x = 3,409.92

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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.