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Finding the Fourth Proportional to 8,234.68, 11,287.64 and 8,123.92

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Solution

The fourth proportional to 8,234.68, 11,287.64 and 8,123.92 is: 11,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.68 : 11,287.64 = 8,123.92 : x
  2. Step 2: Convert to fraction form
    8,234.68/11,287.64 = 8,123.92/x
  3. Step 3: Cross multiply
    8,234.68x = 11,287.64 × 8,123.92
  4. Step 4: Simplify right side
    8,234.68x = 91,699,884.35
  5. Step 5: Solve for x
    x = 91,699,884.35/8,234.68
  6. Step 6: Final answer
    x = 11,135.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.