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Finding the Fourth Proportional to 8,136.75, 12,205.22 and 1,980.75

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Solution

The fourth proportional to 8,136.75, 12,205.22 and 1,980.75 is: 2,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.75 : 12,205.22 = 1,980.75 : x
  2. Step 2: Convert to fraction form
    8,136.75/12,205.22 = 1,980.75/x
  3. Step 3: Cross multiply
    8,136.75x = 12,205.22 × 1,980.75
  4. Step 4: Simplify right side
    8,136.75x = 24,175,489.52
  5. Step 5: Solve for x
    x = 24,175,489.52/8,136.75
  6. Step 6: Final answer
    x = 2,971.15

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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.