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Finding the Fourth Proportional to 2,764.53, 4,146.78 and 2,276.55

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Solution

The fourth proportional to 2,764.53, 4,146.78 and 2,276.55 is: 3,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.53 : 4,146.78 = 2,276.55 : x
  2. Step 2: Convert to fraction form
    2,764.53/4,146.78 = 2,276.55/x
  3. Step 3: Cross multiply
    2,764.53x = 4,146.78 × 2,276.55
  4. Step 4: Simplify right side
    2,764.53x = 9,440,352.01
  5. Step 5: Solve for x
    x = 9,440,352.01/2,764.53
  6. Step 6: Final answer
    x = 3,414.81

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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.