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Finding the Fourth Proportional to 2,136.95, 3,205.11 and 675.91

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Solution

The fourth proportional to 2,136.95, 3,205.11 and 675.91 is: 1,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.95 : 3,205.11 = 675.91 : x
  2. Step 2: Convert to fraction form
    2,136.95/3,205.11 = 675.91/x
  3. Step 3: Cross multiply
    2,136.95x = 3,205.11 × 675.91
  4. Step 4: Simplify right side
    2,136.95x = 2,166,376.70
  5. Step 5: Solve for x
    x = 2,166,376.70/2,136.95
  6. Step 6: Final answer
    x = 1,013.77

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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.