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Finding the Fourth Proportional to 13,745.49, 18,969.72 and 7,777.14

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Solution

The fourth proportional to 13,745.49, 18,969.72 and 7,777.14 is: 10,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.49 : 18,969.72 = 7,777.14 : x
  2. Step 2: Convert to fraction form
    13,745.49/18,969.72 = 7,777.14/x
  3. Step 3: Cross multiply
    13,745.49x = 18,969.72 × 7,777.14
  4. Step 4: Simplify right side
    13,745.49x = 147,530,168.20
  5. Step 5: Solve for x
    x = 147,530,168.20/13,745.49
  6. Step 6: Final answer
    x = 10,732.99

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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.