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Finding the Fourth Proportional to 13,198.14, 19,797.21 and 5,412.42

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Solution

The fourth proportional to 13,198.14, 19,797.21 and 5,412.42 is: 8,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.14 : 19,797.21 = 5,412.42 : x
  2. Step 2: Convert to fraction form
    13,198.14/19,797.21 = 5,412.42/x
  3. Step 3: Cross multiply
    13,198.14x = 19,797.21 × 5,412.42
  4. Step 4: Simplify right side
    13,198.14x = 107,150,815.35
  5. Step 5: Solve for x
    x = 107,150,815.35/13,198.14
  6. Step 6: Final answer
    x = 8,118.63

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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.