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Finding the Fourth Proportional to 20,105.12, 27,745.04 and 11,154

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Solution

The fourth proportional to 20,105.12, 27,745.04 and 11,154 is: 15,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.12 : 27,745.04 = 11,154 : x
  2. Step 2: Convert to fraction form
    20,105.12/27,745.04 = 11,154/x
  3. Step 3: Cross multiply
    20,105.12x = 27,745.04 × 11,154
  4. Step 4: Simplify right side
    20,105.12x = 309,468,176.16
  5. Step 5: Solve for x
    x = 309,468,176.16/20,105.12
  6. Step 6: Final answer
    x = 15,392.51

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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.