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Finding the Fourth Proportional to 13,106.82, 18,087.83 and 7,441.82

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Solution

The fourth proportional to 13,106.82, 18,087.83 and 7,441.82 is: 10,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.82 : 18,087.83 = 7,441.82 : x
  2. Step 2: Convert to fraction form
    13,106.82/18,087.83 = 7,441.82/x
  3. Step 3: Cross multiply
    13,106.82x = 18,087.83 × 7,441.82
  4. Step 4: Simplify right side
    13,106.82x = 134,606,375.05
  5. Step 5: Solve for x
    x = 134,606,375.05/13,106.82
  6. Step 6: Final answer
    x = 10,269.95

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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.