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Finding the Fourth Proportional to 3,975.63, 5,964.42 and 2,807.92

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Solution

The fourth proportional to 3,975.63, 5,964.42 and 2,807.92 is: 4,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.63 : 5,964.42 = 2,807.92 : x
  2. Step 2: Convert to fraction form
    3,975.63/5,964.42 = 2,807.92/x
  3. Step 3: Cross multiply
    3,975.63x = 5,964.42 × 2,807.92
  4. Step 4: Simplify right side
    3,975.63x = 16,747,582.85
  5. Step 5: Solve for x
    x = 16,747,582.85/3,975.63
  6. Step 6: Final answer
    x = 4,212.56

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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.