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Finding the Fourth Proportional to 20,105.92, 27,745.59 and 11,031.22

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Solution

The fourth proportional to 20,105.92, 27,745.59 and 11,031.22 is: 15,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.92 : 27,745.59 = 11,031.22 : x
  2. Step 2: Convert to fraction form
    20,105.92/27,745.59 = 11,031.22/x
  3. Step 3: Cross multiply
    20,105.92x = 27,745.59 × 11,031.22
  4. Step 4: Simplify right side
    20,105.92x = 306,067,707.32
  5. Step 5: Solve for x
    x = 306,067,707.32/20,105.92
  6. Step 6: Final answer
    x = 15,222.77

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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.