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Finding the Fourth Proportional to 8,463.21, 12,691.31 and 3,197.32

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Solution

The fourth proportional to 8,463.21, 12,691.31 and 3,197.32 is: 4,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.21 : 12,691.31 = 3,197.32 : x
  2. Step 2: Convert to fraction form
    8,463.21/12,691.31 = 3,197.32/x
  3. Step 3: Cross multiply
    8,463.21x = 12,691.31 × 3,197.32
  4. Step 4: Simplify right side
    8,463.21x = 40,578,179.29
  5. Step 5: Solve for x
    x = 40,578,179.29/8,463.21
  6. Step 6: Final answer
    x = 4,794.66

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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.