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Finding the Fourth Proportional to 2,919.22, 4,375.78 and 2,186.57

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Solution

The fourth proportional to 2,919.22, 4,375.78 and 2,186.57 is: 3,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.22 : 4,375.78 = 2,186.57 : x
  2. Step 2: Convert to fraction form
    2,919.22/4,375.78 = 2,186.57/x
  3. Step 3: Cross multiply
    2,919.22x = 4,375.78 × 2,186.57
  4. Step 4: Simplify right side
    2,919.22x = 9,567,949.27
  5. Step 5: Solve for x
    x = 9,567,949.27/2,919.22
  6. Step 6: Final answer
    x = 3,277.57

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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.