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Finding the Fourth Proportional to 3,682.12, 5,523.18 and 908.84

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Solution

The fourth proportional to 3,682.12, 5,523.18 and 908.84 is: 1,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.12 : 5,523.18 = 908.84 : x
  2. Step 2: Convert to fraction form
    3,682.12/5,523.18 = 908.84/x
  3. Step 3: Cross multiply
    3,682.12x = 5,523.18 × 908.84
  4. Step 4: Simplify right side
    3,682.12x = 5,019,654.75
  5. Step 5: Solve for x
    x = 5,019,654.75/3,682.12
  6. Step 6: Final answer
    x = 1,363.25

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1.5x scale

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.