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Finding the Fourth Proportional to 3,654.46, 5,481.79 and 1,189.43

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Solution

The fourth proportional to 3,654.46, 5,481.79 and 1,189.43 is: 1,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.46 : 5,481.79 = 1,189.43 : x
  2. Step 2: Convert to fraction form
    3,654.46/5,481.79 = 1,189.43/x
  3. Step 3: Cross multiply
    3,654.46x = 5,481.79 × 1,189.43
  4. Step 4: Simplify right side
    3,654.46x = 6,520,175.10
  5. Step 5: Solve for x
    x = 6,520,175.10/3,654.46
  6. Step 6: Final answer
    x = 1,784.17

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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.