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Finding the Fourth Proportional to 2,163.34, 3,245.08 and 682.57

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Solution

The fourth proportional to 2,163.34, 3,245.08 and 682.57 is: 1,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.34 : 3,245.08 = 682.57 : x
  2. Step 2: Convert to fraction form
    2,163.34/3,245.08 = 682.57/x
  3. Step 3: Cross multiply
    2,163.34x = 3,245.08 × 682.57
  4. Step 4: Simplify right side
    2,163.34x = 2,215,004.61
  5. Step 5: Solve for x
    x = 2,215,004.61/2,163.34
  6. Step 6: Final answer
    x = 1,023.88

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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.