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Finding the Fourth Proportional to 2,163.06, 3,245.27 and 682.22

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Solution

The fourth proportional to 2,163.06, 3,245.27 and 682.22 is: 1,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.06 : 3,245.27 = 682.22 : x
  2. Step 2: Convert to fraction form
    2,163.06/3,245.27 = 682.22/x
  3. Step 3: Cross multiply
    2,163.06x = 3,245.27 × 682.22
  4. Step 4: Simplify right side
    2,163.06x = 2,213,988.10
  5. Step 5: Solve for x
    x = 2,213,988.10/2,163.06
  6. Step 6: Final answer
    x = 1,023.54

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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.