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Finding the Fourth Proportional to 7,754.88, 11,628.83 and 2,206.89

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Solution

The fourth proportional to 7,754.88, 11,628.83 and 2,206.89 is: 3,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.88 : 11,628.83 = 2,206.89 : x
  2. Step 2: Convert to fraction form
    7,754.88/11,628.83 = 2,206.89/x
  3. Step 3: Cross multiply
    7,754.88x = 11,628.83 × 2,206.89
  4. Step 4: Simplify right side
    7,754.88x = 25,663,537.60
  5. Step 5: Solve for x
    x = 25,663,537.60/7,754.88
  6. Step 6: Final answer
    x = 3,309.34

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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.