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Finding the Fourth Proportional to 8,297.45, 12,433.21 and 5,212.97

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Solution

The fourth proportional to 8,297.45, 12,433.21 and 5,212.97 is: 7,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.45 : 12,433.21 = 5,212.97 : x
  2. Step 2: Convert to fraction form
    8,297.45/12,433.21 = 5,212.97/x
  3. Step 3: Cross multiply
    8,297.45x = 12,433.21 × 5,212.97
  4. Step 4: Simplify right side
    8,297.45x = 64,813,922.16
  5. Step 5: Solve for x
    x = 64,813,922.16/8,297.45
  6. Step 6: Final answer
    x = 7,811.31

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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.