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Finding the Fourth Proportional to 8,229.40, 12,344.10 and 7,678.60

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Solution

The fourth proportional to 8,229.40, 12,344.10 and 7,678.60 is: 11,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.40 : 12,344.10 = 7,678.60 : x
  2. Step 2: Convert to fraction form
    8,229.40/12,344.10 = 7,678.60/x
  3. Step 3: Cross multiply
    8,229.40x = 12,344.10 × 7,678.60
  4. Step 4: Simplify right side
    8,229.40x = 94,785,406.26
  5. Step 5: Solve for x
    x = 94,785,406.26/8,229.40
  6. Step 6: Final answer
    x = 11,517.90

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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.