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Finding the Fourth Proportional to 3,245.42, 4,478 and 2,066.06

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Solution

The fourth proportional to 3,245.42, 4,478 and 2,066.06 is: 2,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.42 : 4,478 = 2,066.06 : x
  2. Step 2: Convert to fraction form
    3,245.42/4,478 = 2,066.06/x
  3. Step 3: Cross multiply
    3,245.42x = 4,478 × 2,066.06
  4. Step 4: Simplify right side
    3,245.42x = 9,251,816.68
  5. Step 5: Solve for x
    x = 9,251,816.68/3,245.42
  6. Step 6: Final answer
    x = 2,850.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.