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Finding the Fourth Proportional to 8,243.40, 12,353.88 and 6,865.44

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Solution

The fourth proportional to 8,243.40, 12,353.88 and 6,865.44 is: 10,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.40 : 12,353.88 = 6,865.44 : x
  2. Step 2: Convert to fraction form
    8,243.40/12,353.88 = 6,865.44/x
  3. Step 3: Cross multiply
    8,243.40x = 12,353.88 × 6,865.44
  4. Step 4: Simplify right side
    8,243.40x = 84,814,821.91
  5. Step 5: Solve for x
    x = 84,814,821.91/8,243.40
  6. Step 6: Final answer
    x = 10,288.82

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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.