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Finding the Fourth Proportional to 13,198.80, 19,795 and 4,431.44

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Solution

The fourth proportional to 13,198.80, 19,795 and 4,431.44 is: 6,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.80 : 19,795 = 4,431.44 : x
  2. Step 2: Convert to fraction form
    13,198.80/19,795 = 4,431.44/x
  3. Step 3: Cross multiply
    13,198.80x = 19,795 × 4,431.44
  4. Step 4: Simplify right side
    13,198.80x = 87,720,354.80
  5. Step 5: Solve for x
    x = 87,720,354.80/13,198.80
  6. Step 6: Final answer
    x = 6,646.09

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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.