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Finding the Fourth Proportional to 20,067.92, 27,693.66 and 11,570

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Solution

The fourth proportional to 20,067.92, 27,693.66 and 11,570 is: 15,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.92 : 27,693.66 = 11,570 : x
  2. Step 2: Convert to fraction form
    20,067.92/27,693.66 = 11,570/x
  3. Step 3: Cross multiply
    20,067.92x = 27,693.66 × 11,570
  4. Step 4: Simplify right side
    20,067.92x = 320,415,646.20
  5. Step 5: Solve for x
    x = 320,415,646.20/20,067.92
  6. Step 6: Final answer
    x = 15,966.56

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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.