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Finding the Fourth Proportional to 2,617.35, 3,926.29 and 861.64

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Solution

The fourth proportional to 2,617.35, 3,926.29 and 861.64 is: 1,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.35 : 3,926.29 = 861.64 : x
  2. Step 2: Convert to fraction form
    2,617.35/3,926.29 = 861.64/x
  3. Step 3: Cross multiply
    2,617.35x = 3,926.29 × 861.64
  4. Step 4: Simplify right side
    2,617.35x = 3,383,046.78
  5. Step 5: Solve for x
    x = 3,383,046.78/2,617.35
  6. Step 6: Final answer
    x = 1,292.54

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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.