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Finding the Fourth Proportional to 20,164.25, 27,825.07 and 11,211.20

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Solution

The fourth proportional to 20,164.25, 27,825.07 and 11,211.20 is: 15,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.25 : 27,825.07 = 11,211.20 : x
  2. Step 2: Convert to fraction form
    20,164.25/27,825.07 = 11,211.20/x
  3. Step 3: Cross multiply
    20,164.25x = 27,825.07 × 11,211.20
  4. Step 4: Simplify right side
    20,164.25x = 311,952,424.78
  5. Step 5: Solve for x
    x = 311,952,424.78/20,164.25
  6. Step 6: Final answer
    x = 15,470.57

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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.