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Finding the Fourth Proportional to 12,414.11, 17,131.79 and 6,749.24

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Solution

The fourth proportional to 12,414.11, 17,131.79 and 6,749.24 is: 9,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.11 : 17,131.79 = 6,749.24 : x
  2. Step 2: Convert to fraction form
    12,414.11/17,131.79 = 6,749.24/x
  3. Step 3: Cross multiply
    12,414.11x = 17,131.79 × 6,749.24
  4. Step 4: Simplify right side
    12,414.11x = 115,626,442.93
  5. Step 5: Solve for x
    x = 115,626,442.93/12,414.11
  6. Step 6: Final answer
    x = 9,314.12

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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.