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Finding the Fourth Proportional to 3,964.68, 5,942.16 and 2,808

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Solution

The fourth proportional to 3,964.68, 5,942.16 and 2,808 is: 4,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,942.16 = 2,808 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,942.16 = 2,808/x
  3. Step 3: Cross multiply
    3,964.68x = 5,942.16 × 2,808
  4. Step 4: Simplify right side
    3,964.68x = 16,685,585.28
  5. Step 5: Solve for x
    x = 16,685,585.28/3,964.68
  6. Step 6: Final answer
    x = 4,208.56

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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.