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Finding the Fourth Proportional to 2,698.60, 3,722.60 and 1,857.82

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Solution

The fourth proportional to 2,698.60, 3,722.60 and 1,857.82 is: 2,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.60 : 3,722.60 = 1,857.82 : x
  2. Step 2: Convert to fraction form
    2,698.60/3,722.60 = 1,857.82/x
  3. Step 3: Cross multiply
    2,698.60x = 3,722.60 × 1,857.82
  4. Step 4: Simplify right side
    2,698.60x = 6,915,920.73
  5. Step 5: Solve for x
    x = 6,915,920.73/2,698.60
  6. Step 6: Final answer
    x = 2,562.78

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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.