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Finding the Fourth Proportional to 13,101.75, 18,080.24 and 7,796.43

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Solution

The fourth proportional to 13,101.75, 18,080.24 and 7,796.43 is: 10,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.75 : 18,080.24 = 7,796.43 : x
  2. Step 2: Convert to fraction form
    13,101.75/18,080.24 = 7,796.43/x
  3. Step 3: Cross multiply
    13,101.75x = 18,080.24 × 7,796.43
  4. Step 4: Simplify right side
    13,101.75x = 140,961,286.56
  5. Step 5: Solve for x
    x = 140,961,286.56/13,101.75
  6. Step 6: Final answer
    x = 10,758.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.