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Finding the Fourth Proportional to 20,170, 27,834.60 and 11,338

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Solution

The fourth proportional to 20,170, 27,834.60 and 11,338 is: 15,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 27,834.60 = 11,338 : x
  2. Step 2: Convert to fraction form
    20,170/27,834.60 = 11,338/x
  3. Step 3: Cross multiply
    20,170x = 27,834.60 × 11,338
  4. Step 4: Simplify right side
    20,170x = 315,588,694.80
  5. Step 5: Solve for x
    x = 315,588,694.80/20,170
  6. Step 6: Final answer
    x = 15,646.44

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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.