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Finding the Fourth Proportional to 8,474.31, 12,706.83 and 6,730.52

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Solution

The fourth proportional to 8,474.31, 12,706.83 and 6,730.52 is: 10,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.31 : 12,706.83 = 6,730.52 : x
  2. Step 2: Convert to fraction form
    8,474.31/12,706.83 = 6,730.52/x
  3. Step 3: Cross multiply
    8,474.31x = 12,706.83 × 6,730.52
  4. Step 4: Simplify right side
    8,474.31x = 85,523,509.92
  5. Step 5: Solve for x
    x = 85,523,509.92/8,474.31
  6. Step 6: Final answer
    x = 10,092.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.