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Finding the Fourth Proportional to 8,178.75, 12,212.72 and 6,493.97

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Solution

The fourth proportional to 8,178.75, 12,212.72 and 6,493.97 is: 9,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.75 : 12,212.72 = 6,493.97 : x
  2. Step 2: Convert to fraction form
    8,178.75/12,212.72 = 6,493.97/x
  3. Step 3: Cross multiply
    8,178.75x = 12,212.72 × 6,493.97
  4. Step 4: Simplify right side
    8,178.75x = 79,309,063.63
  5. Step 5: Solve for x
    x = 79,309,063.63/8,178.75
  6. Step 6: Final answer
    x = 9,696.96

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1.5x scale

Why These Related Problems?

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