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Finding the Fourth Proportional to 8,531.56, 12,796.62 and 3,914.56

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Solution

The fourth proportional to 8,531.56, 12,796.62 and 3,914.56 is: 5,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.56 : 12,796.62 = 3,914.56 : x
  2. Step 2: Convert to fraction form
    8,531.56/12,796.62 = 3,914.56/x
  3. Step 3: Cross multiply
    8,531.56x = 12,796.62 × 3,914.56
  4. Step 4: Simplify right side
    8,531.56x = 50,093,136.79
  5. Step 5: Solve for x
    x = 50,093,136.79/8,531.56
  6. Step 6: Final answer
    x = 5,871.51

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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.