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Finding the Fourth Proportional to 20,036, 27,649.68 and 11,204

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Solution

The fourth proportional to 20,036, 27,649.68 and 11,204 is: 15,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036 : 27,649.68 = 11,204 : x
  2. Step 2: Convert to fraction form
    20,036/27,649.68 = 11,204/x
  3. Step 3: Cross multiply
    20,036x = 27,649.68 × 11,204
  4. Step 4: Simplify right side
    20,036x = 309,787,014.72
  5. Step 5: Solve for x
    x = 309,787,014.72/20,036
  6. Step 6: Final answer
    x = 15,461.52

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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.