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Finding the Fourth Proportional to 3,654.62, 5,482 and 1,189.43

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Solution

The fourth proportional to 3,654.62, 5,482 and 1,189.43 is: 1,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.62 : 5,482 = 1,189.43 : x
  2. Step 2: Convert to fraction form
    3,654.62/5,482 = 1,189.43/x
  3. Step 3: Cross multiply
    3,654.62x = 5,482 × 1,189.43
  4. Step 4: Simplify right side
    3,654.62x = 6,520,455.26
  5. Step 5: Solve for x
    x = 6,520,455.26/3,654.62
  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.