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Finding the Fourth Proportional to 8,231.38, 12,348.38 and 2,684.30

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Solution

The fourth proportional to 8,231.38, 12,348.38 and 2,684.30 is: 4,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.38 : 12,348.38 = 2,684.30 : x
  2. Step 2: Convert to fraction form
    8,231.38/12,348.38 = 2,684.30/x
  3. Step 3: Cross multiply
    8,231.38x = 12,348.38 × 2,684.30
  4. Step 4: Simplify right side
    8,231.38x = 33,146,701.40
  5. Step 5: Solve for x
    x = 33,146,701.40/8,231.38
  6. Step 6: Final answer
    x = 4,026.87

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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.