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Finding the Fourth Proportional to 8,083.64, 11,147.82 and 6,839.48

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Solution

The fourth proportional to 8,083.64, 11,147.82 and 6,839.48 is: 9,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.64 : 11,147.82 = 6,839.48 : x
  2. Step 2: Convert to fraction form
    8,083.64/11,147.82 = 6,839.48/x
  3. Step 3: Cross multiply
    8,083.64x = 11,147.82 × 6,839.48
  4. Step 4: Simplify right side
    8,083.64x = 76,245,291.93
  5. Step 5: Solve for x
    x = 76,245,291.93/8,083.64
  6. Step 6: Final answer
    x = 9,432.05

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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.