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Finding the Fourth Proportional to 7,757.67, 11,636.70 and 2,211.10

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Solution

The fourth proportional to 7,757.67, 11,636.70 and 2,211.10 is: 3,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.67 : 11,636.70 = 2,211.10 : x
  2. Step 2: Convert to fraction form
    7,757.67/11,636.70 = 2,211.10/x
  3. Step 3: Cross multiply
    7,757.67x = 11,636.70 × 2,211.10
  4. Step 4: Simplify right side
    7,757.67x = 25,729,907.37
  5. Step 5: Solve for x
    x = 25,729,907.37/7,757.67
  6. Step 6: Final answer
    x = 3,316.71

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1.5x scale

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.