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Finding the Fourth Proportional to 2,676.37, 4,014.93 and 827.65

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Solution

The fourth proportional to 2,676.37, 4,014.93 and 827.65 is: 1,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.37 : 4,014.93 = 827.65 : x
  2. Step 2: Convert to fraction form
    2,676.37/4,014.93 = 827.65/x
  3. Step 3: Cross multiply
    2,676.37x = 4,014.93 × 827.65
  4. Step 4: Simplify right side
    2,676.37x = 3,322,936.74
  5. Step 5: Solve for x
    x = 3,322,936.74/2,676.37
  6. Step 6: Final answer
    x = 1,241.59

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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.