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Finding the Fourth Proportional to 6,689.22, 9,230.81 and 3,704.82

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Solution

The fourth proportional to 6,689.22, 9,230.81 and 3,704.82 is: 5,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.22 : 9,230.81 = 3,704.82 : x
  2. Step 2: Convert to fraction form
    6,689.22/9,230.81 = 3,704.82/x
  3. Step 3: Cross multiply
    6,689.22x = 9,230.81 × 3,704.82
  4. Step 4: Simplify right side
    6,689.22x = 34,198,489.50
  5. Step 5: Solve for x
    x = 34,198,489.50/6,689.22
  6. Step 6: Final answer
    x = 5,112.48

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1.5x scale

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.