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Finding the Fourth Proportional to 20,003, 27,604.14 and 11,171

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Solution

The fourth proportional to 20,003, 27,604.14 and 11,171 is: 15,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003 : 27,604.14 = 11,171 : x
  2. Step 2: Convert to fraction form
    20,003/27,604.14 = 11,171/x
  3. Step 3: Cross multiply
    20,003x = 27,604.14 × 11,171
  4. Step 4: Simplify right side
    20,003x = 308,365,847.94
  5. Step 5: Solve for x
    x = 308,365,847.94/20,003
  6. Step 6: Final answer
    x = 15,415.98

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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.