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Finding the Fourth Proportional to 8,067.53, 12,099.17 and 3,140.71

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Solution

The fourth proportional to 8,067.53, 12,099.17 and 3,140.71 is: 4,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.53 : 12,099.17 = 3,140.71 : x
  2. Step 2: Convert to fraction form
    8,067.53/12,099.17 = 3,140.71/x
  3. Step 3: Cross multiply
    8,067.53x = 12,099.17 × 3,140.71
  4. Step 4: Simplify right side
    8,067.53x = 37,999,961.81
  5. Step 5: Solve for x
    x = 37,999,961.81/8,067.53
  6. Step 6: Final answer
    x = 4,710.23

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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.