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Finding the Fourth Proportional to 27,606, 41,411.16 and 9,138

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Solution

The fourth proportional to 27,606, 41,411.16 and 9,138 is: 13,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606 : 41,411.16 = 9,138 : x
  2. Step 2: Convert to fraction form
    27,606/41,411.16 = 9,138/x
  3. Step 3: Cross multiply
    27,606x = 41,411.16 × 9,138
  4. Step 4: Simplify right side
    27,606x = 378,415,180.08
  5. Step 5: Solve for x
    x = 378,415,180.08/27,606
  6. Step 6: Final answer
    x = 13,707.71

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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.