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Finding the Fourth Proportional to 2,940.56, 4,404.12 and 1,911.44

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Solution

The fourth proportional to 2,940.56, 4,404.12 and 1,911.44 is: 2,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.56 : 4,404.12 = 1,911.44 : x
  2. Step 2: Convert to fraction form
    2,940.56/4,404.12 = 1,911.44/x
  3. Step 3: Cross multiply
    2,940.56x = 4,404.12 × 1,911.44
  4. Step 4: Simplify right side
    2,940.56x = 8,418,211.13
  5. Step 5: Solve for x
    x = 8,418,211.13/2,940.56
  6. Step 6: Final answer
    x = 2,862.79

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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.