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Finding the Fourth Proportional to 20,094.73, 27,730.68 and 11,142

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Solution

The fourth proportional to 20,094.73, 27,730.68 and 11,142 is: 15,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.73 : 27,730.68 = 11,142 : x
  2. Step 2: Convert to fraction form
    20,094.73/27,730.68 = 11,142/x
  3. Step 3: Cross multiply
    20,094.73x = 27,730.68 × 11,142
  4. Step 4: Simplify right side
    20,094.73x = 308,975,194.78
  5. Step 5: Solve for x
    x = 308,975,194.78/20,094.73
  6. Step 6: Final answer
    x = 15,375.93

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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.