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Finding the Fourth Proportional to 3,957.80, 5,940.57 and 1,879.20

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Solution

The fourth proportional to 3,957.80, 5,940.57 and 1,879.20 is: 2,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.80 : 5,940.57 = 1,879.20 : x
  2. Step 2: Convert to fraction form
    3,957.80/5,940.57 = 1,879.20/x
  3. Step 3: Cross multiply
    3,957.80x = 5,940.57 × 1,879.20
  4. Step 4: Simplify right side
    3,957.80x = 11,163,519.14
  5. Step 5: Solve for x
    x = 11,163,519.14/3,957.80
  6. Step 6: Final answer
    x = 2,820.64

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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.