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Finding the Fourth Proportional to 2,611.85, 3,917.79 and 664.06

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Solution

The fourth proportional to 2,611.85, 3,917.79 and 664.06 is: 996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.85 : 3,917.79 = 664.06 : x
  2. Step 2: Convert to fraction form
    2,611.85/3,917.79 = 664.06/x
  3. Step 3: Cross multiply
    2,611.85x = 3,917.79 × 664.06
  4. Step 4: Simplify right side
    2,611.85x = 2,601,647.63
  5. Step 5: Solve for x
    x = 2,601,647.63/2,611.85
  6. Step 6: Final answer
    x = 996.09

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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.