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Finding the Fourth Proportional to 5,299.72, 7,951.84 and 2,665.84

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Solution

The fourth proportional to 5,299.72, 7,951.84 and 2,665.84 is: 3,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.72 : 7,951.84 = 2,665.84 : x
  2. Step 2: Convert to fraction form
    5,299.72/7,951.84 = 2,665.84/x
  3. Step 3: Cross multiply
    5,299.72x = 7,951.84 × 2,665.84
  4. Step 4: Simplify right side
    5,299.72x = 21,198,333.15
  5. Step 5: Solve for x
    x = 21,198,333.15/5,299.72
  6. Step 6: Final answer
    x = 3,999.90

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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.