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Finding the Fourth Proportional to 13,082.75, 18,053.82 and 7,418.04

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Solution

The fourth proportional to 13,082.75, 18,053.82 and 7,418.04 is: 10,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.75 : 18,053.82 = 7,418.04 : x
  2. Step 2: Convert to fraction form
    13,082.75/18,053.82 = 7,418.04/x
  3. Step 3: Cross multiply
    13,082.75x = 18,053.82 × 7,418.04
  4. Step 4: Simplify right side
    13,082.75x = 133,923,958.91
  5. Step 5: Solve for x
    x = 133,923,958.91/13,082.75
  6. Step 6: Final answer
    x = 10,236.68

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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.