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Finding the Fourth Proportional to 2,797.39, 4,193.79 and 1,917.46

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Solution

The fourth proportional to 2,797.39, 4,193.79 and 1,917.46 is: 2,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.39 : 4,193.79 = 1,917.46 : x
  2. Step 2: Convert to fraction form
    2,797.39/4,193.79 = 1,917.46/x
  3. Step 3: Cross multiply
    2,797.39x = 4,193.79 × 1,917.46
  4. Step 4: Simplify right side
    2,797.39x = 8,041,424.57
  5. Step 5: Solve for x
    x = 8,041,424.57/2,797.39
  6. Step 6: Final answer
    x = 2,874.62

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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.