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Finding the Fourth Proportional to 20,008, 27,611.20 and 11,176

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Solution

The fourth proportional to 20,008, 27,611.20 and 11,176 is: 15,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 27,611.20 = 11,176 : x
  2. Step 2: Convert to fraction form
    20,008/27,611.20 = 11,176/x
  3. Step 3: Cross multiply
    20,008x = 27,611.20 × 11,176
  4. Step 4: Simplify right side
    20,008x = 308,582,771.20
  5. Step 5: Solve for x
    x = 308,582,771.20/20,008
  6. Step 6: Final answer
    x = 15,422.97

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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.