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Finding the Fourth Proportional to 3,942.72, 5,914.20 and 1,634.40

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Solution

The fourth proportional to 3,942.72, 5,914.20 and 1,634.40 is: 2,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.72 : 5,914.20 = 1,634.40 : x
  2. Step 2: Convert to fraction form
    3,942.72/5,914.20 = 1,634.40/x
  3. Step 3: Cross multiply
    3,942.72x = 5,914.20 × 1,634.40
  4. Step 4: Simplify right side
    3,942.72x = 9,666,168.48
  5. Step 5: Solve for x
    x = 9,666,168.48/3,942.72
  6. Step 6: Final answer
    x = 2,451.65

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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.