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Finding the Fourth Proportional to 7,763.20, 11,644.90 and 2,216.54

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Solution

The fourth proportional to 7,763.20, 11,644.90 and 2,216.54 is: 3,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.20 : 11,644.90 = 2,216.54 : x
  2. Step 2: Convert to fraction form
    7,763.20/11,644.90 = 2,216.54/x
  3. Step 3: Cross multiply
    7,763.20x = 11,644.90 × 2,216.54
  4. Step 4: Simplify right side
    7,763.20x = 25,811,344.71
  5. Step 5: Solve for x
    x = 25,811,344.71/7,763.20
  6. Step 6: Final answer
    x = 3,324.83

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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.