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Finding the Fourth Proportional to 2,797.50, 4,197 and 2,491.45

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Solution

The fourth proportional to 2,797.50, 4,197 and 2,491.45 is: 3,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.50 : 4,197 = 2,491.45 : x
  2. Step 2: Convert to fraction form
    2,797.50/4,197 = 2,491.45/x
  3. Step 3: Cross multiply
    2,797.50x = 4,197 × 2,491.45
  4. Step 4: Simplify right side
    2,797.50x = 10,456,626.14
  5. Step 5: Solve for x
    x = 10,456,626.14/2,797.50
  6. Step 6: Final answer
    x = 3,737.85

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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.