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Finding the Fourth Proportional to 20,269, 27,971.22 and 11,437

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Solution

The fourth proportional to 20,269, 27,971.22 and 11,437 is: 15,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269 : 27,971.22 = 11,437 : x
  2. Step 2: Convert to fraction form
    20,269/27,971.22 = 11,437/x
  3. Step 3: Cross multiply
    20,269x = 27,971.22 × 11,437
  4. Step 4: Simplify right side
    20,269x = 319,906,843.14
  5. Step 5: Solve for x
    x = 319,906,843.14/20,269
  6. Step 6: Final answer
    x = 15,783.06

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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.