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Finding the Fourth Proportional to 2,450.44, 3,676.11 and 807.09

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Solution

The fourth proportional to 2,450.44, 3,676.11 and 807.09 is: 1,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.44 : 3,676.11 = 807.09 : x
  2. Step 2: Convert to fraction form
    2,450.44/3,676.11 = 807.09/x
  3. Step 3: Cross multiply
    2,450.44x = 3,676.11 × 807.09
  4. Step 4: Simplify right side
    2,450.44x = 2,966,951.62
  5. Step 5: Solve for x
    x = 2,966,951.62/2,450.44
  6. Step 6: Final answer
    x = 1,210.78

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1.5x scale

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.