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Finding the Fourth Proportional to 2,756, 4,137.24 and 2,299.16

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Solution

The fourth proportional to 2,756, 4,137.24 and 2,299.16 is: 3,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756 : 4,137.24 = 2,299.16 : x
  2. Step 2: Convert to fraction form
    2,756/4,137.24 = 2,299.16/x
  3. Step 3: Cross multiply
    2,756x = 4,137.24 × 2,299.16
  4. Step 4: Simplify right side
    2,756x = 9,512,176.72
  5. Step 5: Solve for x
    x = 9,512,176.72/2,756
  6. Step 6: Final answer
    x = 3,451.44

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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.