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Finding the Fourth Proportional to 6,265.22, 9,398.12 and 3,489.80

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Solution

The fourth proportional to 6,265.22, 9,398.12 and 3,489.80 is: 5,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.22 : 9,398.12 = 3,489.80 : x
  2. Step 2: Convert to fraction form
    6,265.22/9,398.12 = 3,489.80/x
  3. Step 3: Cross multiply
    6,265.22x = 9,398.12 × 3,489.80
  4. Step 4: Simplify right side
    6,265.22x = 32,797,494.74
  5. Step 5: Solve for x
    x = 32,797,494.74/6,265.22
  6. Step 6: Final answer
    x = 5,234.86

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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.