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Finding the Fourth Proportional to 8,230.84, 12,324.30 and 4,939.42

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Solution

The fourth proportional to 8,230.84, 12,324.30 and 4,939.42 is: 7,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.84 : 12,324.30 = 4,939.42 : x
  2. Step 2: Convert to fraction form
    8,230.84/12,324.30 = 4,939.42/x
  3. Step 3: Cross multiply
    8,230.84x = 12,324.30 × 4,939.42
  4. Step 4: Simplify right side
    8,230.84x = 60,874,893.91
  5. Step 5: Solve for x
    x = 60,874,893.91/8,230.84
  6. Step 6: Final answer
    x = 7,395.95

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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.