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Finding the Fourth Proportional to 8,202.80, 11,321.30 and 4,845.38

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Solution

The fourth proportional to 8,202.80, 11,321.30 and 4,845.38 is: 6,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.80 : 11,321.30 = 4,845.38 : x
  2. Step 2: Convert to fraction form
    8,202.80/11,321.30 = 4,845.38/x
  3. Step 3: Cross multiply
    8,202.80x = 11,321.30 × 4,845.38
  4. Step 4: Simplify right side
    8,202.80x = 54,856,000.59
  5. Step 5: Solve for x
    x = 54,856,000.59/8,202.80
  6. Step 6: Final answer
    x = 6,687.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.