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Finding the Fourth Proportional to 2,879.18, 3,972.72 and 1,760.41

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Solution

The fourth proportional to 2,879.18, 3,972.72 and 1,760.41 is: 2,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.18 : 3,972.72 = 1,760.41 : x
  2. Step 2: Convert to fraction form
    2,879.18/3,972.72 = 1,760.41/x
  3. Step 3: Cross multiply
    2,879.18x = 3,972.72 × 1,760.41
  4. Step 4: Simplify right side
    2,879.18x = 6,993,627.58
  5. Step 5: Solve for x
    x = 6,993,627.58/2,879.18
  6. Step 6: Final answer
    x = 2,429.04

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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.