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Finding the Fourth Proportional to 2,000, 2,760 and 1,172

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Solution

The fourth proportional to 2,000, 2,760 and 1,172 is: 1,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000 : 2,760 = 1,172 : x
  2. Step 2: Convert to fraction form
    2,000/2,760 = 1,172/x
  3. Step 3: Cross multiply
    2,000x = 2,760 × 1,172
  4. Step 4: Simplify right side
    2,000x = 3,234,720
  5. Step 5: Solve for x
    x = 3,234,720/2,000
  6. Step 6: Final answer
    x = 1,617.36

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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.