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Finding the Fourth Proportional to 13,202.22, 18,219.57 and 7,234.14

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Solution

The fourth proportional to 13,202.22, 18,219.57 and 7,234.14 is: 9,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.22 : 18,219.57 = 7,234.14 : x
  2. Step 2: Convert to fraction form
    13,202.22/18,219.57 = 7,234.14/x
  3. Step 3: Cross multiply
    13,202.22x = 18,219.57 × 7,234.14
  4. Step 4: Simplify right side
    13,202.22x = 131,802,920.12
  5. Step 5: Solve for x
    x = 131,802,920.12/13,202.22
  6. Step 6: Final answer
    x = 9,983.39

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Why These Related Problems?

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