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Finding the Fourth Proportional to 8,261.86, 12,394.98 and 3,579.82

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Solution

The fourth proportional to 8,261.86, 12,394.98 and 3,579.82 is: 5,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.86 : 12,394.98 = 3,579.82 : x
  2. Step 2: Convert to fraction form
    8,261.86/12,394.98 = 3,579.82/x
  3. Step 3: Cross multiply
    8,261.86x = 12,394.98 × 3,579.82
  4. Step 4: Simplify right side
    8,261.86x = 44,371,797.30
  5. Step 5: Solve for x
    x = 44,371,797.30/8,261.86
  6. Step 6: Final answer
    x = 5,370.68

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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.