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Finding the Fourth Proportional to 13,712.26, 20,470.97 and 13,226.26

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Solution

The fourth proportional to 13,712.26, 20,470.97 and 13,226.26 is: 19,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.26 : 20,470.97 = 13,226.26 : x
  2. Step 2: Convert to fraction form
    13,712.26/20,470.97 = 13,226.26/x
  3. Step 3: Cross multiply
    13,712.26x = 20,470.97 × 13,226.26
  4. Step 4: Simplify right side
    13,712.26x = 270,754,371.67
  5. Step 5: Solve for x
    x = 270,754,371.67/13,712.26
  6. Step 6: Final answer
    x = 19,745.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.