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Finding the Fourth Proportional to 10,067.69, 15,099.46 and 3,491.66

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Solution

The fourth proportional to 10,067.69, 15,099.46 and 3,491.66 is: 5,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.69 : 15,099.46 = 3,491.66 : x
  2. Step 2: Convert to fraction form
    10,067.69/15,099.46 = 3,491.66/x
  3. Step 3: Cross multiply
    10,067.69x = 15,099.46 × 3,491.66
  4. Step 4: Simplify right side
    10,067.69x = 52,722,180.50
  5. Step 5: Solve for x
    x = 52,722,180.50/10,067.69
  6. Step 6: Final answer
    x = 5,236.77

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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.