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Finding the Fourth Proportional to 2,611.45, 3,911.10 and 1,991.80

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Solution

The fourth proportional to 2,611.45, 3,911.10 and 1,991.80 is: 2,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.45 : 3,911.10 = 1,991.80 : x
  2. Step 2: Convert to fraction form
    2,611.45/3,911.10 = 1,991.80/x
  3. Step 3: Cross multiply
    2,611.45x = 3,911.10 × 1,991.80
  4. Step 4: Simplify right side
    2,611.45x = 7,790,128.98
  5. Step 5: Solve for x
    x = 7,790,128.98/2,611.45
  6. Step 6: Final answer
    x = 2,983.07

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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.