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Finding the Fourth Proportional to 7,769.99, 11,654.71 and 2,575.82

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Solution

The fourth proportional to 7,769.99, 11,654.71 and 2,575.82 is: 3,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.99 : 11,654.71 = 2,575.82 : x
  2. Step 2: Convert to fraction form
    7,769.99/11,654.71 = 2,575.82/x
  3. Step 3: Cross multiply
    7,769.99x = 11,654.71 × 2,575.82
  4. Step 4: Simplify right side
    7,769.99x = 30,020,435.11
  5. Step 5: Solve for x
    x = 30,020,435.11/7,769.99
  6. Step 6: Final answer
    x = 3,863.64

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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.