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Finding the Fourth Proportional to 13,202.31, 18,219.19 and 7,234

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Solution

The fourth proportional to 13,202.31, 18,219.19 and 7,234 is: 9,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.31 : 18,219.19 = 7,234 : x
  2. Step 2: Convert to fraction form
    13,202.31/18,219.19 = 7,234/x
  3. Step 3: Cross multiply
    13,202.31x = 18,219.19 × 7,234
  4. Step 4: Simplify right side
    13,202.31x = 131,797,620.46
  5. Step 5: Solve for x
    x = 131,797,620.46/13,202.31
  6. Step 6: Final answer
    x = 9,982.92

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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.