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Finding the Fourth Proportional to 8,310.06, 11,489.49 and 7,942.86

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Solution

The fourth proportional to 8,310.06, 11,489.49 and 7,942.86 is: 10,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.06 : 11,489.49 = 7,942.86 : x
  2. Step 2: Convert to fraction form
    8,310.06/11,489.49 = 7,942.86/x
  3. Step 3: Cross multiply
    8,310.06x = 11,489.49 × 7,942.86
  4. Step 4: Simplify right side
    8,310.06x = 91,259,410.54
  5. Step 5: Solve for x
    x = 91,259,410.54/8,310.06
  6. Step 6: Final answer
    x = 10,981.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.