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Finding the Fourth Proportional to 3,654.45, 5,482.13 and 1,189.53

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Solution

The fourth proportional to 3,654.45, 5,482.13 and 1,189.53 is: 1,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.45 : 5,482.13 = 1,189.53 : x
  2. Step 2: Convert to fraction form
    3,654.45/5,482.13 = 1,189.53/x
  3. Step 3: Cross multiply
    3,654.45x = 5,482.13 × 1,189.53
  4. Step 4: Simplify right side
    3,654.45x = 6,521,158.10
  5. Step 5: Solve for x
    x = 6,521,158.10/3,654.45
  6. Step 6: Final answer
    x = 1,784.44

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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.