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Finding the Fourth Proportional to 7,871.60, 11,796.86 and 5,781.80

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Solution

The fourth proportional to 7,871.60, 11,796.86 and 5,781.80 is: 8,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.60 : 11,796.86 = 5,781.80 : x
  2. Step 2: Convert to fraction form
    7,871.60/11,796.86 = 5,781.80/x
  3. Step 3: Cross multiply
    7,871.60x = 11,796.86 × 5,781.80
  4. Step 4: Simplify right side
    7,871.60x = 68,206,997.25
  5. Step 5: Solve for x
    x = 68,206,997.25/7,871.60
  6. Step 6: Final answer
    x = 8,664.95

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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.