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Finding the Fourth Proportional to 3,964.58, 5,942.94 and 1,880.92

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Solution

The fourth proportional to 3,964.58, 5,942.94 and 1,880.92 is: 2,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.58 : 5,942.94 = 1,880.92 : x
  2. Step 2: Convert to fraction form
    3,964.58/5,942.94 = 1,880.92/x
  3. Step 3: Cross multiply
    3,964.58x = 5,942.94 × 1,880.92
  4. Step 4: Simplify right side
    3,964.58x = 11,178,194.70
  5. Step 5: Solve for x
    x = 11,178,194.70/3,964.58
  6. Step 6: Final answer
    x = 2,819.52

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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.