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Finding the Fourth Proportional to 2,611.98, 3,918.09 and 664.20

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Solution

The fourth proportional to 2,611.98, 3,918.09 and 664.20 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.98 : 3,918.09 = 664.20 : x
  2. Step 2: Convert to fraction form
    2,611.98/3,918.09 = 664.20/x
  3. Step 3: Cross multiply
    2,611.98x = 3,918.09 × 664.20
  4. Step 4: Simplify right side
    2,611.98x = 2,602,395.38
  5. Step 5: Solve for x
    x = 2,602,395.38/2,611.98
  6. Step 6: Final answer
    x = 996.33

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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.