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Finding the Fourth Proportional to 27,872.67, 41,806.74 and 7,881.37

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Solution

The fourth proportional to 27,872.67, 41,806.74 and 7,881.37 is: 11,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.67 : 41,806.74 = 7,881.37 : x
  2. Step 2: Convert to fraction form
    27,872.67/41,806.74 = 7,881.37/x
  3. Step 3: Cross multiply
    27,872.67x = 41,806.74 × 7,881.37
  4. Step 4: Simplify right side
    27,872.67x = 329,494,281.92
  5. Step 5: Solve for x
    x = 329,494,281.92/27,872.67
  6. Step 6: Final answer
    x = 11,821.41

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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.