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Finding the Fourth Proportional to 7,858.82, 11,795.99 and 5,772.97

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Solution

The fourth proportional to 7,858.82, 11,795.99 and 5,772.97 is: 8,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.82 : 11,795.99 = 5,772.97 : x
  2. Step 2: Convert to fraction form
    7,858.82/11,795.99 = 5,772.97/x
  3. Step 3: Cross multiply
    7,858.82x = 11,795.99 × 5,772.97
  4. Step 4: Simplify right side
    7,858.82x = 68,097,838.04
  5. Step 5: Solve for x
    x = 68,097,838.04/7,858.82
  6. Step 6: Final answer
    x = 8,665.15

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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.