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Finding the Fourth Proportional to 20,164.88, 27,825.94 and 11,211.83

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Solution

The fourth proportional to 20,164.88, 27,825.94 and 11,211.83 is: 15,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.88 : 27,825.94 = 11,211.83 : x
  2. Step 2: Convert to fraction form
    20,164.88/27,825.94 = 11,211.83/x
  3. Step 3: Cross multiply
    20,164.88x = 27,825.94 × 11,211.83
  4. Step 4: Simplify right side
    20,164.88x = 311,979,541.71
  5. Step 5: Solve for x
    x = 311,979,541.71/20,164.88
  6. Step 6: Final answer
    x = 15,471.43

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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.