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Finding the Fourth Proportional to 27,871.67, 41,802.24 and 7,881

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Solution

The fourth proportional to 27,871.67, 41,802.24 and 7,881 is: 11,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.67 : 41,802.24 = 7,881 : x
  2. Step 2: Convert to fraction form
    27,871.67/41,802.24 = 7,881/x
  3. Step 3: Cross multiply
    27,871.67x = 41,802.24 × 7,881
  4. Step 4: Simplify right side
    27,871.67x = 329,443,453.44
  5. Step 5: Solve for x
    x = 329,443,453.44/27,871.67
  6. Step 6: Final answer
    x = 11,820.01

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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.