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Finding the Fourth Proportional to 2,136.33, 3,205.07 and 903.80

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Solution

The fourth proportional to 2,136.33, 3,205.07 and 903.80 is: 1,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.33 : 3,205.07 = 903.80 : x
  2. Step 2: Convert to fraction form
    2,136.33/3,205.07 = 903.80/x
  3. Step 3: Cross multiply
    2,136.33x = 3,205.07 × 903.80
  4. Step 4: Simplify right side
    2,136.33x = 2,896,725.11
  5. Step 5: Solve for x
    x = 2,896,725.11/2,136.33
  6. Step 6: Final answer
    x = 1,355.93

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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.