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Finding the Fourth Proportional to 5,815.68, 8,722.14 and 2,067.15

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Solution

The fourth proportional to 5,815.68, 8,722.14 and 2,067.15 is: 3,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.68 : 8,722.14 = 2,067.15 : x
  2. Step 2: Convert to fraction form
    5,815.68/8,722.14 = 2,067.15/x
  3. Step 3: Cross multiply
    5,815.68x = 8,722.14 × 2,067.15
  4. Step 4: Simplify right side
    5,815.68x = 18,029,971.70
  5. Step 5: Solve for x
    x = 18,029,971.70/5,815.68
  6. Step 6: Final answer
    x = 3,100.23

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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.