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Finding the Fourth Proportional to 8,204.68, 12,317.96 and 6,979.96

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Solution

The fourth proportional to 8,204.68, 12,317.96 and 6,979.96 is: 10,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.68 : 12,317.96 = 6,979.96 : x
  2. Step 2: Convert to fraction form
    8,204.68/12,317.96 = 6,979.96/x
  3. Step 3: Cross multiply
    8,204.68x = 12,317.96 × 6,979.96
  4. Step 4: Simplify right side
    8,204.68x = 85,978,868.08
  5. Step 5: Solve for x
    x = 85,978,868.08/8,204.68
  6. Step 6: Final answer
    x = 10,479.25

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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.