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Finding the Fourth Proportional to 8,190.87, 12,286.30 and 6,539.68

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Solution

The fourth proportional to 8,190.87, 12,286.30 and 6,539.68 is: 9,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.87 : 12,286.30 = 6,539.68 : x
  2. Step 2: Convert to fraction form
    8,190.87/12,286.30 = 6,539.68/x
  3. Step 3: Cross multiply
    8,190.87x = 12,286.30 × 6,539.68
  4. Step 4: Simplify right side
    8,190.87x = 80,348,470.38
  5. Step 5: Solve for x
    x = 80,348,470.38/8,190.87
  6. Step 6: Final answer
    x = 9,809.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.