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Finding the Fourth Proportional to 20,169.97, 27,836.25 and 11,219.20

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Solution

The fourth proportional to 20,169.97, 27,836.25 and 11,219.20 is: 15,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169.97 : 27,836.25 = 11,219.20 : x
  2. Step 2: Convert to fraction form
    20,169.97/27,836.25 = 11,219.20/x
  3. Step 3: Cross multiply
    20,169.97x = 27,836.25 × 11,219.20
  4. Step 4: Simplify right side
    20,169.97x = 312,300,456
  5. Step 5: Solve for x
    x = 312,300,456/20,169.97
  6. Step 6: Final answer
    x = 15,483.44

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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.