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Finding the Fourth Proportional to 6,415.07, 9,620.84 and 2,198.26

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Solution

The fourth proportional to 6,415.07, 9,620.84 and 2,198.26 is: 3,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.07 : 9,620.84 = 2,198.26 : x
  2. Step 2: Convert to fraction form
    6,415.07/9,620.84 = 2,198.26/x
  3. Step 3: Cross multiply
    6,415.07x = 9,620.84 × 2,198.26
  4. Step 4: Simplify right side
    6,415.07x = 21,149,107.74
  5. Step 5: Solve for x
    x = 21,149,107.74/6,415.07
  6. Step 6: Final answer
    x = 3,296.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.