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Finding the Fourth Proportional to 3,892.84, 5,847.90 and 3,769.96

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Solution

The fourth proportional to 3,892.84, 5,847.90 and 3,769.96 is: 5,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.84 : 5,847.90 = 3,769.96 : x
  2. Step 2: Convert to fraction form
    3,892.84/5,847.90 = 3,769.96/x
  3. Step 3: Cross multiply
    3,892.84x = 5,847.90 × 3,769.96
  4. Step 4: Simplify right side
    3,892.84x = 22,046,349.08
  5. Step 5: Solve for x
    x = 22,046,349.08/3,892.84
  6. Step 6: Final answer
    x = 5,663.31

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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.