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Finding the Fourth Proportional to 7,868.97, 11,799.61 and 3,705.47

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Solution

The fourth proportional to 7,868.97, 11,799.61 and 3,705.47 is: 5,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.97 : 11,799.61 = 3,705.47 : x
  2. Step 2: Convert to fraction form
    7,868.97/11,799.61 = 3,705.47/x
  3. Step 3: Cross multiply
    7,868.97x = 11,799.61 × 3,705.47
  4. Step 4: Simplify right side
    7,868.97x = 43,723,100.87
  5. Step 5: Solve for x
    x = 43,723,100.87/7,868.97
  6. Step 6: Final answer
    x = 5,556.39

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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.