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Finding the Fourth Proportional to 12,744, 19,112.36 and 5,350.12

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Solution

The fourth proportional to 12,744, 19,112.36 and 5,350.12 is: 8,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 19,112.36 = 5,350.12 : x
  2. Step 2: Convert to fraction form
    12,744/19,112.36 = 5,350.12/x
  3. Step 3: Cross multiply
    12,744x = 19,112.36 × 5,350.12
  4. Step 4: Simplify right side
    12,744x = 102,253,344.95
  5. Step 5: Solve for x
    x = 102,253,344.95/12,744
  6. Step 6: Final answer
    x = 8,023.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.