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Finding the Fourth Proportional to 3,402.80, 5,104.20 and 1,942.10

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Solution

The fourth proportional to 3,402.80, 5,104.20 and 1,942.10 is: 2,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.80 : 5,104.20 = 1,942.10 : x
  2. Step 2: Convert to fraction form
    3,402.80/5,104.20 = 1,942.10/x
  3. Step 3: Cross multiply
    3,402.80x = 5,104.20 × 1,942.10
  4. Step 4: Simplify right side
    3,402.80x = 9,912,866.82
  5. Step 5: Solve for x
    x = 9,912,866.82/3,402.80
  6. Step 6: Final answer
    x = 2,913.15

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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.