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Finding the Fourth Proportional to 10,081, 13,911.78 and 5,665

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Solution

The fourth proportional to 10,081, 13,911.78 and 5,665 is: 7,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081 : 13,911.78 = 5,665 : x
  2. Step 2: Convert to fraction form
    10,081/13,911.78 = 5,665/x
  3. Step 3: Cross multiply
    10,081x = 13,911.78 × 5,665
  4. Step 4: Simplify right side
    10,081x = 78,810,233.70
  5. Step 5: Solve for x
    x = 78,810,233.70/10,081
  6. Step 6: Final answer
    x = 7,817.70

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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.