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Finding the Fourth Proportional to 6,820.26, 9,411.87 and 3,836.09

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Solution

The fourth proportional to 6,820.26, 9,411.87 and 3,836.09 is: 5,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.26 : 9,411.87 = 3,836.09 : x
  2. Step 2: Convert to fraction form
    6,820.26/9,411.87 = 3,836.09/x
  3. Step 3: Cross multiply
    6,820.26x = 9,411.87 × 3,836.09
  4. Step 4: Simplify right side
    6,820.26x = 36,104,733.33
  5. Step 5: Solve for x
    x = 36,104,733.33/6,820.26
  6. Step 6: Final answer
    x = 5,293.75

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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.