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Finding the Fourth Proportional to 3,942.71, 5,908.40 and 2,711.51

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Solution

The fourth proportional to 3,942.71, 5,908.40 and 2,711.51 is: 4,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.71 : 5,908.40 = 2,711.51 : x
  2. Step 2: Convert to fraction form
    3,942.71/5,908.40 = 2,711.51/x
  3. Step 3: Cross multiply
    3,942.71x = 5,908.40 × 2,711.51
  4. Step 4: Simplify right side
    3,942.71x = 16,020,672.13
  5. Step 5: Solve for x
    x = 16,020,672.13/3,942.71
  6. Step 6: Final answer
    x = 4,063.37

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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.