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Finding the Fourth Proportional to 3,674.96, 5,509.56 and 1,942.64

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Solution

The fourth proportional to 3,674.96, 5,509.56 and 1,942.64 is: 2,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.96 : 5,509.56 = 1,942.64 : x
  2. Step 2: Convert to fraction form
    3,674.96/5,509.56 = 1,942.64/x
  3. Step 3: Cross multiply
    3,674.96x = 5,509.56 × 1,942.64
  4. Step 4: Simplify right side
    3,674.96x = 10,703,091.64
  5. Step 5: Solve for x
    x = 10,703,091.64/3,674.96
  6. Step 6: Final answer
    x = 2,912.44

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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.