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Finding the Fourth Proportional to 7,775.76, 11,663.34 and 2,229.09

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Solution

The fourth proportional to 7,775.76, 11,663.34 and 2,229.09 is: 3,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.76 : 11,663.34 = 2,229.09 : x
  2. Step 2: Convert to fraction form
    7,775.76/11,663.34 = 2,229.09/x
  3. Step 3: Cross multiply
    7,775.76x = 11,663.34 × 2,229.09
  4. Step 4: Simplify right side
    7,775.76x = 25,998,634.56
  5. Step 5: Solve for x
    x = 25,998,634.56/7,775.76
  6. Step 6: Final answer
    x = 3,343.55

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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.