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Finding the Fourth Proportional to 3,770.90, 5,664.65 and 3,654.26

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Solution

The fourth proportional to 3,770.90, 5,664.65 and 3,654.26 is: 5,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.90 : 5,664.65 = 3,654.26 : x
  2. Step 2: Convert to fraction form
    3,770.90/5,664.65 = 3,654.26/x
  3. Step 3: Cross multiply
    3,770.90x = 5,664.65 × 3,654.26
  4. Step 4: Simplify right side
    3,770.90x = 20,700,057.31
  5. Step 5: Solve for x
    x = 20,700,057.31/3,770.90
  6. Step 6: Final answer
    x = 5,489.43

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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.