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Finding the Fourth Proportional to 2,136.95, 3,203.88 and 1,441.88

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Solution

The fourth proportional to 2,136.95, 3,203.88 and 1,441.88 is: 2,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.95 : 3,203.88 = 1,441.88 : x
  2. Step 2: Convert to fraction form
    2,136.95/3,203.88 = 1,441.88/x
  3. Step 3: Cross multiply
    2,136.95x = 3,203.88 × 1,441.88
  4. Step 4: Simplify right side
    2,136.95x = 4,619,610.49
  5. Step 5: Solve for x
    x = 4,619,610.49/2,136.95
  6. Step 6: Final answer
    x = 2,161.78

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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.