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Finding the Fourth Proportional to 18,481, 27,721.74 and 6,169

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Solution

The fourth proportional to 18,481, 27,721.74 and 6,169 is: 9,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481 : 27,721.74 = 6,169 : x
  2. Step 2: Convert to fraction form
    18,481/27,721.74 = 6,169/x
  3. Step 3: Cross multiply
    18,481x = 27,721.74 × 6,169
  4. Step 4: Simplify right side
    18,481x = 171,015,414.06
  5. Step 5: Solve for x
    x = 171,015,414.06/18,481
  6. Step 6: Final answer
    x = 9,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.