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Finding the Fourth Proportional to 3,170.43, 4,375.22 and 1,911.42

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Solution

The fourth proportional to 3,170.43, 4,375.22 and 1,911.42 is: 2,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.43 : 4,375.22 = 1,911.42 : x
  2. Step 2: Convert to fraction form
    3,170.43/4,375.22 = 1,911.42/x
  3. Step 3: Cross multiply
    3,170.43x = 4,375.22 × 1,911.42
  4. Step 4: Simplify right side
    3,170.43x = 8,362,873.46
  5. Step 5: Solve for x
    x = 8,362,873.46/3,170.43
  6. Step 6: Final answer
    x = 2,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.