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Finding the Fourth Proportional to 10,233.73, 15,351.31 and 3,991.67

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Solution

The fourth proportional to 10,233.73, 15,351.31 and 3,991.67 is: 5,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.73 : 15,351.31 = 3,991.67 : x
  2. Step 2: Convert to fraction form
    10,233.73/15,351.31 = 3,991.67/x
  3. Step 3: Cross multiply
    10,233.73x = 15,351.31 × 3,991.67
  4. Step 4: Simplify right side
    10,233.73x = 61,277,326.94
  5. Step 5: Solve for x
    x = 61,277,326.94/10,233.73
  6. Step 6: Final answer
    x = 5,987.78

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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.