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Finding the Fourth Proportional to 7,763.00, 11,644.89 and 2,217.17

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Solution

The fourth proportional to 7,763.00, 11,644.89 and 2,217.17 is: 3,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.00 : 11,644.89 = 2,217.17 : x
  2. Step 2: Convert to fraction form
    7,763.00/11,644.89 = 2,217.17/x
  3. Step 3: Cross multiply
    7,763.00x = 11,644.89 × 2,217.17
  4. Step 4: Simplify right side
    7,763.00x = 25,818,642.54
  5. Step 5: Solve for x
    x = 25,818,642.54/7,763.00
  6. Step 6: Final answer
    x = 3,325.86

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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.