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Finding the Fourth Proportional to 2,940.87, 4,057.38 and 2,714.88

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Solution

The fourth proportional to 2,940.87, 4,057.38 and 2,714.88 is: 3,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.87 : 4,057.38 = 2,714.88 : x
  2. Step 2: Convert to fraction form
    2,940.87/4,057.38 = 2,714.88/x
  3. Step 3: Cross multiply
    2,940.87x = 4,057.38 × 2,714.88
  4. Step 4: Simplify right side
    2,940.87x = 11,015,299.81
  5. Step 5: Solve for x
    x = 11,015,299.81/2,940.87
  6. Step 6: Final answer
    x = 3,745.59

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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.