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Finding the Fourth Proportional to 8,231.40, 12,347.10 and 4,942.80

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Solution

The fourth proportional to 8,231.40, 12,347.10 and 4,942.80 is: 7,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.40 : 12,347.10 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    8,231.40/12,347.10 = 4,942.80/x
  3. Step 3: Cross multiply
    8,231.40x = 12,347.10 × 4,942.80
  4. Step 4: Simplify right side
    8,231.40x = 61,029,245.88
  5. Step 5: Solve for x
    x = 61,029,245.88/8,231.40
  6. Step 6: Final answer
    x = 7,414.20

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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.