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Finding the Fourth Proportional to 3,000, 4,144.02 and 2,720.54

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Solution

The fourth proportional to 3,000, 4,144.02 and 2,720.54 is: 3,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,144.02 = 2,720.54 : x
  2. Step 2: Convert to fraction form
    3,000/4,144.02 = 2,720.54/x
  3. Step 3: Cross multiply
    3,000x = 4,144.02 × 2,720.54
  4. Step 4: Simplify right side
    3,000x = 11,273,972.17
  5. Step 5: Solve for x
    x = 11,273,972.17/3,000
  6. Step 6: Final answer
    x = 3,757.99

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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.