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Finding the Fourth Proportional to 2,257.11, 3,384.03 and 851.32

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Solution

The fourth proportional to 2,257.11, 3,384.03 and 851.32 is: 1,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.11 : 3,384.03 = 851.32 : x
  2. Step 2: Convert to fraction form
    2,257.11/3,384.03 = 851.32/x
  3. Step 3: Cross multiply
    2,257.11x = 3,384.03 × 851.32
  4. Step 4: Simplify right side
    2,257.11x = 2,880,883.96
  5. Step 5: Solve for x
    x = 2,880,883.96/2,257.11
  6. Step 6: Final answer
    x = 1,276.36

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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.