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Finding the Fourth Proportional to 13,906.15, 20,852.99 and 8,286.47

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Solution

The fourth proportional to 13,906.15, 20,852.99 and 8,286.47 is: 12,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.15 : 20,852.99 = 8,286.47 : x
  2. Step 2: Convert to fraction form
    13,906.15/20,852.99 = 8,286.47/x
  3. Step 3: Cross multiply
    13,906.15x = 20,852.99 × 8,286.47
  4. Step 4: Simplify right side
    13,906.15x = 172,797,676.05
  5. Step 5: Solve for x
    x = 172,797,676.05/13,906.15
  6. Step 6: Final answer
    x = 12,425.99

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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.