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Finding the Fourth Proportional to 20,095.38, 27,730.35 and 11,142.36

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Solution

The fourth proportional to 20,095.38, 27,730.35 and 11,142.36 is: 15,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.38 : 27,730.35 = 11,142.36 : x
  2. Step 2: Convert to fraction form
    20,095.38/27,730.35 = 11,142.36/x
  3. Step 3: Cross multiply
    20,095.38x = 27,730.35 × 11,142.36
  4. Step 4: Simplify right side
    20,095.38x = 308,981,542.63
  5. Step 5: Solve for x
    x = 308,981,542.63/20,095.38
  6. Step 6: Final answer
    x = 15,375.75

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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.