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Finding the Fourth Proportional to 13,679.82, 20,519.82 and 11,825.46

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Solution

The fourth proportional to 13,679.82, 20,519.82 and 11,825.46 is: 17,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.82 : 20,519.82 = 11,825.46 : x
  2. Step 2: Convert to fraction form
    13,679.82/20,519.82 = 11,825.46/x
  3. Step 3: Cross multiply
    13,679.82x = 20,519.82 × 11,825.46
  4. Step 4: Simplify right side
    13,679.82x = 242,656,310.62
  5. Step 5: Solve for x
    x = 242,656,310.62/13,679.82
  6. Step 6: Final answer
    x = 17,738.27

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1.5x scale

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.