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Finding the Fourth Proportional to 2,617.70, 3,922.90 and 1,967.68

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Solution

The fourth proportional to 2,617.70, 3,922.90 and 1,967.68 is: 2,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.70 : 3,922.90 = 1,967.68 : x
  2. Step 2: Convert to fraction form
    2,617.70/3,922.90 = 1,967.68/x
  3. Step 3: Cross multiply
    2,617.70x = 3,922.90 × 1,967.68
  4. Step 4: Simplify right side
    2,617.70x = 7,719,011.87
  5. Step 5: Solve for x
    x = 7,719,011.87/2,617.70
  6. Step 6: Final answer
    x = 2,948.78

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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.