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Finding the Fourth Proportional to 20,110, 27,751.83 and 11,728.12

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Solution

The fourth proportional to 20,110, 27,751.83 and 11,728.12 is: 16,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 27,751.83 = 11,728.12 : x
  2. Step 2: Convert to fraction form
    20,110/27,751.83 = 11,728.12/x
  3. Step 3: Cross multiply
    20,110x = 27,751.83 × 11,728.12
  4. Step 4: Simplify right side
    20,110x = 325,476,733.82
  5. Step 5: Solve for x
    x = 325,476,733.82/20,110
  6. Step 6: Final answer
    x = 16,184.82

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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.