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Finding the Fourth Proportional to 13,408.68, 18,504.81 and 7,744.47

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Solution

The fourth proportional to 13,408.68, 18,504.81 and 7,744.47 is: 10,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.68 : 18,504.81 = 7,744.47 : x
  2. Step 2: Convert to fraction form
    13,408.68/18,504.81 = 7,744.47/x
  3. Step 3: Cross multiply
    13,408.68x = 18,504.81 × 7,744.47
  4. Step 4: Simplify right side
    13,408.68x = 143,309,945.90
  5. Step 5: Solve for x
    x = 143,309,945.90/13,408.68
  6. Step 6: Final answer
    x = 10,687.85

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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.