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Finding the Fourth Proportional to 20,163.74, 27,826.07 and 11,212.07

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Solution

The fourth proportional to 20,163.74, 27,826.07 and 11,212.07 is: 15,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.74 : 27,826.07 = 11,212.07 : x
  2. Step 2: Convert to fraction form
    20,163.74/27,826.07 = 11,212.07/x
  3. Step 3: Cross multiply
    20,163.74x = 27,826.07 × 11,212.07
  4. Step 4: Simplify right side
    20,163.74x = 311,987,649.47
  5. Step 5: Solve for x
    x = 311,987,649.47/20,163.74
  6. Step 6: Final answer
    x = 15,472.71

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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.