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Finding the Fourth Proportional to 7,764, 11,647.82 and 2,569.88

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Solution

The fourth proportional to 7,764, 11,647.82 and 2,569.88 is: 3,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 11,647.82 = 2,569.88 : x
  2. Step 2: Convert to fraction form
    7,764/11,647.82 = 2,569.88/x
  3. Step 3: Cross multiply
    7,764x = 11,647.82 × 2,569.88
  4. Step 4: Simplify right side
    7,764x = 29,933,499.66
  5. Step 5: Solve for x
    x = 29,933,499.66/7,764
  6. Step 6: Final answer
    x = 3,855.42

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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.