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Finding the Fourth Proportional to 20,287.86, 27,992.13 and 11,902.74

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Solution

The fourth proportional to 20,287.86, 27,992.13 and 11,902.74 is: 16,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.86 : 27,992.13 = 11,902.74 : x
  2. Step 2: Convert to fraction form
    20,287.86/27,992.13 = 11,902.74/x
  3. Step 3: Cross multiply
    20,287.86x = 27,992.13 × 11,902.74
  4. Step 4: Simplify right side
    20,287.86x = 333,183,045.44
  5. Step 5: Solve for x
    x = 333,183,045.44/20,287.86
  6. Step 6: Final answer
    x = 16,422.78

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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.