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Finding the Fourth Proportional to 3,493.80, 5,239.02 and 2,033.40

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Solution

The fourth proportional to 3,493.80, 5,239.02 and 2,033.40 is: 3,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.80 : 5,239.02 = 2,033.40 : x
  2. Step 2: Convert to fraction form
    3,493.80/5,239.02 = 2,033.40/x
  3. Step 3: Cross multiply
    3,493.80x = 5,239.02 × 2,033.40
  4. Step 4: Simplify right side
    3,493.80x = 10,653,023.27
  5. Step 5: Solve for x
    x = 10,653,023.27/3,493.80
  6. Step 6: Final answer
    x = 3,049.12

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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.