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Finding the Fourth Proportional to 10,649.26, 15,975 and 4,081

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Solution

The fourth proportional to 10,649.26, 15,975 and 4,081 is: 6,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.26 : 15,975 = 4,081 : x
  2. Step 2: Convert to fraction form
    10,649.26/15,975 = 4,081/x
  3. Step 3: Cross multiply
    10,649.26x = 15,975 × 4,081
  4. Step 4: Simplify right side
    10,649.26x = 65,193,975
  5. Step 5: Solve for x
    x = 65,193,975/10,649.26
  6. Step 6: Final answer
    x = 6,121.93

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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.