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Finding the Fourth Proportional to 8,197.69, 12,306.28 and 7,863.49

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Solution

The fourth proportional to 8,197.69, 12,306.28 and 7,863.49 is: 11,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.69 : 12,306.28 = 7,863.49 : x
  2. Step 2: Convert to fraction form
    8,197.69/12,306.28 = 7,863.49/x
  3. Step 3: Cross multiply
    8,197.69x = 12,306.28 × 7,863.49
  4. Step 4: Simplify right side
    8,197.69x = 96,770,309.72
  5. Step 5: Solve for x
    x = 96,770,309.72/8,197.69
  6. Step 6: Final answer
    x = 11,804.58

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1.5x scale

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.