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Finding the Fourth Proportional to 9,198.96, 12,694.38 and 5,371.32

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Solution

The fourth proportional to 9,198.96, 12,694.38 and 5,371.32 is: 7,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.96 : 12,694.38 = 5,371.32 : x
  2. Step 2: Convert to fraction form
    9,198.96/12,694.38 = 5,371.32/x
  3. Step 3: Cross multiply
    9,198.96x = 12,694.38 × 5,371.32
  4. Step 4: Simplify right side
    9,198.96x = 68,185,577.18
  5. Step 5: Solve for x
    x = 68,185,577.18/9,198.96
  6. Step 6: Final answer
    x = 7,412.31

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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.