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Finding the Fourth Proportional to 20,273, 27,976.74 and 11,441

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Solution

The fourth proportional to 20,273, 27,976.74 and 11,441 is: 15,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273 : 27,976.74 = 11,441 : x
  2. Step 2: Convert to fraction form
    20,273/27,976.74 = 11,441/x
  3. Step 3: Cross multiply
    20,273x = 27,976.74 × 11,441
  4. Step 4: Simplify right side
    20,273x = 320,081,882.34
  5. Step 5: Solve for x
    x = 320,081,882.34/20,273
  6. Step 6: Final answer
    x = 15,788.58

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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.