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Finding the Fourth Proportional to 12,906.50, 17,801.22 and 8,934.26

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Solution

The fourth proportional to 12,906.50, 17,801.22 and 8,934.26 is: 12,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.50 : 17,801.22 = 8,934.26 : x
  2. Step 2: Convert to fraction form
    12,906.50/17,801.22 = 8,934.26/x
  3. Step 3: Cross multiply
    12,906.50x = 17,801.22 × 8,934.26
  4. Step 4: Simplify right side
    12,906.50x = 159,040,727.80
  5. Step 5: Solve for x
    x = 159,040,727.80/12,906.50
  6. Step 6: Final answer
    x = 12,322.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.