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Finding the Fourth Proportional to 13,202.16, 18,219.43 and 7,233.81

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Solution

The fourth proportional to 13,202.16, 18,219.43 and 7,233.81 is: 9,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.16 : 18,219.43 = 7,233.81 : x
  2. Step 2: Convert to fraction form
    13,202.16/18,219.43 = 7,233.81/x
  3. Step 3: Cross multiply
    13,202.16x = 18,219.43 × 7,233.81
  4. Step 4: Simplify right side
    13,202.16x = 131,795,894.93
  5. Step 5: Solve for x
    x = 131,795,894.93/13,202.16
  6. Step 6: Final answer
    x = 9,982.90

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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.