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Finding the Fourth Proportional to 8,071.92, 12,050.28 and 6,831

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Solution

The fourth proportional to 8,071.92, 12,050.28 and 6,831 is: 10,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.92 : 12,050.28 = 6,831 : x
  2. Step 2: Convert to fraction form
    8,071.92/12,050.28 = 6,831/x
  3. Step 3: Cross multiply
    8,071.92x = 12,050.28 × 6,831
  4. Step 4: Simplify right side
    8,071.92x = 82,315,462.68
  5. Step 5: Solve for x
    x = 82,315,462.68/8,071.92
  6. Step 6: Final answer
    x = 10,197.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.