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Finding the Fourth Proportional to 8,093.40, 12,141.90 and 6,343.80

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Solution

The fourth proportional to 8,093.40, 12,141.90 and 6,343.80 is: 9,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.40 : 12,141.90 = 6,343.80 : x
  2. Step 2: Convert to fraction form
    8,093.40/12,141.90 = 6,343.80/x
  3. Step 3: Cross multiply
    8,093.40x = 12,141.90 × 6,343.80
  4. Step 4: Simplify right side
    8,093.40x = 77,025,785.22
  5. Step 5: Solve for x
    x = 77,025,785.22/8,093.40
  6. Step 6: Final answer
    x = 9,517.11

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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.