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Finding the Fourth Proportional to 3,245.76, 4,857.48 and 2,764.44

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Solution

The fourth proportional to 3,245.76, 4,857.48 and 2,764.44 is: 4,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.76 : 4,857.48 = 2,764.44 : x
  2. Step 2: Convert to fraction form
    3,245.76/4,857.48 = 2,764.44/x
  3. Step 3: Cross multiply
    3,245.76x = 4,857.48 × 2,764.44
  4. Step 4: Simplify right side
    3,245.76x = 13,428,212.01
  5. Step 5: Solve for x
    x = 13,428,212.01/3,245.76
  6. Step 6: Final answer
    x = 4,137.15

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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.