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Finding the Fourth Proportional to 3,213.94, 4,815.41 and 1,754.12

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Solution

The fourth proportional to 3,213.94, 4,815.41 and 1,754.12 is: 2,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.94 : 4,815.41 = 1,754.12 : x
  2. Step 2: Convert to fraction form
    3,213.94/4,815.41 = 1,754.12/x
  3. Step 3: Cross multiply
    3,213.94x = 4,815.41 × 1,754.12
  4. Step 4: Simplify right side
    3,213.94x = 8,446,811.37
  5. Step 5: Solve for x
    x = 8,446,811.37/3,213.94
  6. Step 6: Final answer
    x = 2,628.18

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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.