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Finding the Fourth Proportional to 20,091, 27,724.82 and 11,138.66

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Solution

The fourth proportional to 20,091, 27,724.82 and 11,138.66 is: 15,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091 : 27,724.82 = 11,138.66 : x
  2. Step 2: Convert to fraction form
    20,091/27,724.82 = 11,138.66/x
  3. Step 3: Cross multiply
    20,091x = 27,724.82 × 11,138.66
  4. Step 4: Simplify right side
    20,091x = 308,817,149.22
  5. Step 5: Solve for x
    x = 308,817,149.22/20,091
  6. Step 6: Final answer
    x = 15,370.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.