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Finding the Fourth Proportional to 8,229.20, 12,368.10 and 8,083.40

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Solution

The fourth proportional to 8,229.20, 12,368.10 and 8,083.40 is: 12,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.20 : 12,368.10 = 8,083.40 : x
  2. Step 2: Convert to fraction form
    8,229.20/12,368.10 = 8,083.40/x
  3. Step 3: Cross multiply
    8,229.20x = 12,368.10 × 8,083.40
  4. Step 4: Simplify right side
    8,229.20x = 99,976,299.54
  5. Step 5: Solve for x
    x = 99,976,299.54/8,229.20
  6. Step 6: Final answer
    x = 12,148.97

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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.