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Finding the Fourth Proportional to 3,861.84, 5,793 and 3,665.04

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Solution

The fourth proportional to 3,861.84, 5,793 and 3,665.04 is: 5,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 5,793 = 3,665.04 : x
  2. Step 2: Convert to fraction form
    3,861.84/5,793 = 3,665.04/x
  3. Step 3: Cross multiply
    3,861.84x = 5,793 × 3,665.04
  4. Step 4: Simplify right side
    3,861.84x = 21,231,576.72
  5. Step 5: Solve for x
    x = 21,231,576.72/3,861.84
  6. Step 6: Final answer
    x = 5,497.79

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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.