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Finding the Fourth Proportional to 18,131.49, 25,022.25 and 11,414.57

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Solution

The fourth proportional to 18,131.49, 25,022.25 and 11,414.57 is: 15,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.49 : 25,022.25 = 11,414.57 : x
  2. Step 2: Convert to fraction form
    18,131.49/25,022.25 = 11,414.57/x
  3. Step 3: Cross multiply
    18,131.49x = 25,022.25 × 11,414.57
  4. Step 4: Simplify right side
    18,131.49x = 285,618,099.07
  5. Step 5: Solve for x
    x = 285,618,099.07/18,131.49
  6. Step 6: Final answer
    x = 15,752.60

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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.