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Finding the Fourth Proportional to 13,211.91, 18,232.44 and 7,243.83

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Solution

The fourth proportional to 13,211.91, 18,232.44 and 7,243.83 is: 9,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.91 : 18,232.44 = 7,243.83 : x
  2. Step 2: Convert to fraction form
    13,211.91/18,232.44 = 7,243.83/x
  3. Step 3: Cross multiply
    13,211.91x = 18,232.44 × 7,243.83
  4. Step 4: Simplify right side
    13,211.91x = 132,072,695.85
  5. Step 5: Solve for x
    x = 132,072,695.85/13,211.91
  6. Step 6: Final answer
    x = 9,996.49

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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.