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Finding the Fourth Proportional to 20,136.84, 30,198.42 and 7,653.86

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Solution

The fourth proportional to 20,136.84, 30,198.42 and 7,653.86 is: 11,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.84 : 30,198.42 = 7,653.86 : x
  2. Step 2: Convert to fraction form
    20,136.84/30,198.42 = 7,653.86/x
  3. Step 3: Cross multiply
    20,136.84x = 30,198.42 × 7,653.86
  4. Step 4: Simplify right side
    20,136.84x = 231,134,478.90
  5. Step 5: Solve for x
    x = 231,134,478.90/20,136.84
  6. Step 6: Final answer
    x = 11,478.19

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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.