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Finding the Fourth Proportional to 20,122, 27,768.36 and 11,736.88

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Solution

The fourth proportional to 20,122, 27,768.36 and 11,736.88 is: 16,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 27,768.36 = 11,736.88 : x
  2. Step 2: Convert to fraction form
    20,122/27,768.36 = 11,736.88/x
  3. Step 3: Cross multiply
    20,122x = 27,768.36 × 11,736.88
  4. Step 4: Simplify right side
    20,122x = 325,913,909.12
  5. Step 5: Solve for x
    x = 325,913,909.12/20,122
  6. Step 6: Final answer
    x = 16,196.89

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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.