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Finding the Fourth Proportional to 13,682.56, 20,538.42 and 13,186.84

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Solution

The fourth proportional to 13,682.56, 20,538.42 and 13,186.84 is: 19,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.56 : 20,538.42 = 13,186.84 : x
  2. Step 2: Convert to fraction form
    13,682.56/20,538.42 = 13,186.84/x
  3. Step 3: Cross multiply
    13,682.56x = 20,538.42 × 13,186.84
  4. Step 4: Simplify right side
    13,682.56x = 270,836,858.39
  5. Step 5: Solve for x
    x = 270,836,858.39/13,682.56
  6. Step 6: Final answer
    x = 19,794.31

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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.