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Finding the Fourth Proportional to 7,771.62, 11,657.22 and 2,506.62

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Solution

The fourth proportional to 7,771.62, 11,657.22 and 2,506.62 is: 3,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.62 : 11,657.22 = 2,506.62 : x
  2. Step 2: Convert to fraction form
    7,771.62/11,657.22 = 2,506.62/x
  3. Step 3: Cross multiply
    7,771.62x = 11,657.22 × 2,506.62
  4. Step 4: Simplify right side
    7,771.62x = 29,220,220.80
  5. Step 5: Solve for x
    x = 29,220,220.80/7,771.62
  6. Step 6: Final answer
    x = 3,759.86

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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.