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Finding the Fourth Proportional to 8,231.80, 12,284.38 and 7,357

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Solution

The fourth proportional to 8,231.80, 12,284.38 and 7,357 is: 10,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.80 : 12,284.38 = 7,357 : x
  2. Step 2: Convert to fraction form
    8,231.80/12,284.38 = 7,357/x
  3. Step 3: Cross multiply
    8,231.80x = 12,284.38 × 7,357
  4. Step 4: Simplify right side
    8,231.80x = 90,376,183.66
  5. Step 5: Solve for x
    x = 90,376,183.66/8,231.80
  6. Step 6: Final answer
    x = 10,978.91

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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.