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Finding the Fourth Proportional to 20,093.34, 27,728.52 and 11,140.86

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Solution

The fourth proportional to 20,093.34, 27,728.52 and 11,140.86 is: 15,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.34 : 27,728.52 = 11,140.86 : x
  2. Step 2: Convert to fraction form
    20,093.34/27,728.52 = 11,140.86/x
  3. Step 3: Cross multiply
    20,093.34x = 27,728.52 × 11,140.86
  4. Step 4: Simplify right side
    20,093.34x = 308,919,559.33
  5. Step 5: Solve for x
    x = 308,919,559.33/20,093.34
  6. Step 6: Final answer
    x = 15,374.23

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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.