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Finding the Fourth Proportional to 8,099.14, 12,143.88 and 3,163

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Solution

The fourth proportional to 8,099.14, 12,143.88 and 3,163 is: 4,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.14 : 12,143.88 = 3,163 : x
  2. Step 2: Convert to fraction form
    8,099.14/12,143.88 = 3,163/x
  3. Step 3: Cross multiply
    8,099.14x = 12,143.88 × 3,163
  4. Step 4: Simplify right side
    8,099.14x = 38,411,092.44
  5. Step 5: Solve for x
    x = 38,411,092.44/8,099.14
  6. Step 6: Final answer
    x = 4,742.61

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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.