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Finding the Fourth Proportional to 2,540, 3,500.88 and 2,096.48

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Solution

The fourth proportional to 2,540, 3,500.88 and 2,096.48 is: 2,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540 : 3,500.88 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    2,540/3,500.88 = 2,096.48/x
  3. Step 3: Cross multiply
    2,540x = 3,500.88 × 2,096.48
  4. Step 4: Simplify right side
    2,540x = 7,339,524.90
  5. Step 5: Solve for x
    x = 7,339,524.90/2,540
  6. Step 6: Final answer
    x = 2,889.58

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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.