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Finding the Fourth Proportional to 10,906.14, 15,035.25 and 7,321.73

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Solution

The fourth proportional to 10,906.14, 15,035.25 and 7,321.73 is: 10,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.14 : 15,035.25 = 7,321.73 : x
  2. Step 2: Convert to fraction form
    10,906.14/15,035.25 = 7,321.73/x
  3. Step 3: Cross multiply
    10,906.14x = 15,035.25 × 7,321.73
  4. Step 4: Simplify right side
    10,906.14x = 110,083,993.26
  5. Step 5: Solve for x
    x = 110,083,993.26/10,906.14
  6. Step 6: Final answer
    x = 10,093.76

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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.