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Finding the Fourth Proportional to 2,136.84, 3,205.71 and 838.32

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Solution

The fourth proportional to 2,136.84, 3,205.71 and 838.32 is: 1,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.84 : 3,205.71 = 838.32 : x
  2. Step 2: Convert to fraction form
    2,136.84/3,205.71 = 838.32/x
  3. Step 3: Cross multiply
    2,136.84x = 3,205.71 × 838.32
  4. Step 4: Simplify right side
    2,136.84x = 2,687,410.81
  5. Step 5: Solve for x
    x = 2,687,410.81/2,136.84
  6. Step 6: Final answer
    x = 1,257.66

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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.