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Finding the Fourth Proportional to 4,952, 6,834.08 and 2,744

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Solution

The fourth proportional to 4,952, 6,834.08 and 2,744 is: 3,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952 : 6,834.08 = 2,744 : x
  2. Step 2: Convert to fraction form
    4,952/6,834.08 = 2,744/x
  3. Step 3: Cross multiply
    4,952x = 6,834.08 × 2,744
  4. Step 4: Simplify right side
    4,952x = 18,752,715.52
  5. Step 5: Solve for x
    x = 18,752,715.52/4,952
  6. Step 6: Final answer
    x = 3,786.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.