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Finding the Fourth Proportional to 2,136.88, 3,205.02 and 675.84

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Solution

The fourth proportional to 2,136.88, 3,205.02 and 675.84 is: 1,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.88 : 3,205.02 = 675.84 : x
  2. Step 2: Convert to fraction form
    2,136.88/3,205.02 = 675.84/x
  3. Step 3: Cross multiply
    2,136.88x = 3,205.02 × 675.84
  4. Step 4: Simplify right side
    2,136.88x = 2,166,091.47
  5. Step 5: Solve for x
    x = 2,166,091.47/2,136.88
  6. Step 6: Final answer
    x = 1,013.67

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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.