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Finding the Fourth Proportional to 13,202.49, 18,220.14 and 7,234.41

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Solution

The fourth proportional to 13,202.49, 18,220.14 and 7,234.41 is: 9,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.49 : 18,220.14 = 7,234.41 : x
  2. Step 2: Convert to fraction form
    13,202.49/18,220.14 = 7,234.41/x
  3. Step 3: Cross multiply
    13,202.49x = 18,220.14 × 7,234.41
  4. Step 4: Simplify right side
    13,202.49x = 131,812,031.34
  5. Step 5: Solve for x
    x = 131,812,031.34/13,202.49
  6. Step 6: Final answer
    x = 9,983.87

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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.