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Finding the Fourth Proportional to 8,351.89, 12,443.74 and 8,231.60

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Solution

The fourth proportional to 8,351.89, 12,443.74 and 8,231.60 is: 12,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.89 : 12,443.74 = 8,231.60 : x
  2. Step 2: Convert to fraction form
    8,351.89/12,443.74 = 8,231.60/x
  3. Step 3: Cross multiply
    8,351.89x = 12,443.74 × 8,231.60
  4. Step 4: Simplify right side
    8,351.89x = 102,431,923.87
  5. Step 5: Solve for x
    x = 102,431,923.87/8,351.89
  6. Step 6: Final answer
    x = 12,264.52

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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.