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Finding the Fourth Proportional to 8,486.78, 12,724.29 and 3,489.08

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Solution

The fourth proportional to 8,486.78, 12,724.29 and 3,489.08 is: 5,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.78 : 12,724.29 = 3,489.08 : x
  2. Step 2: Convert to fraction form
    8,486.78/12,724.29 = 3,489.08/x
  3. Step 3: Cross multiply
    8,486.78x = 12,724.29 × 3,489.08
  4. Step 4: Simplify right side
    8,486.78x = 44,396,002.13
  5. Step 5: Solve for x
    x = 44,396,002.13/8,486.78
  6. Step 6: Final answer
    x = 5,231.20

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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.