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Finding the Fourth Proportional to 20,249.92, 27,945.12 and 11,753.76

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Solution

The fourth proportional to 20,249.92, 27,945.12 and 11,753.76 is: 16,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.92 : 27,945.12 = 11,753.76 : x
  2. Step 2: Convert to fraction form
    20,249.92/27,945.12 = 11,753.76/x
  3. Step 3: Cross multiply
    20,249.92x = 27,945.12 × 11,753.76
  4. Step 4: Simplify right side
    20,249.92x = 328,460,233.65
  5. Step 5: Solve for x
    x = 328,460,233.65/20,249.92
  6. Step 6: Final answer
    x = 16,220.32

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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.