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Finding the Fourth Proportional to 2,136.87, 3,205.37 and 965.61

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Solution

The fourth proportional to 2,136.87, 3,205.37 and 965.61 is: 1,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.87 : 3,205.37 = 965.61 : x
  2. Step 2: Convert to fraction form
    2,136.87/3,205.37 = 965.61/x
  3. Step 3: Cross multiply
    2,136.87x = 3,205.37 × 965.61
  4. Step 4: Simplify right side
    2,136.87x = 3,095,116.47
  5. Step 5: Solve for x
    x = 3,095,116.47/2,136.87
  6. Step 6: Final answer
    x = 1,448.44

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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.