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Finding the Fourth Proportional to 8,310.81, 11,490.53 and 7,943.61

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Solution

The fourth proportional to 8,310.81, 11,490.53 and 7,943.61 is: 10,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.81 : 11,490.53 = 7,943.61 : x
  2. Step 2: Convert to fraction form
    8,310.81/11,490.53 = 7,943.61/x
  3. Step 3: Cross multiply
    8,310.81x = 11,490.53 × 7,943.61
  4. Step 4: Simplify right side
    8,310.81x = 91,276,249.30
  5. Step 5: Solve for x
    x = 91,276,249.30/8,310.81
  6. Step 6: Final answer
    x = 10,982.83

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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.