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Finding the Fourth Proportional to 12,171.78, 16,797.12 and 7,136.09

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Solution

The fourth proportional to 12,171.78, 16,797.12 and 7,136.09 is: 9,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.78 : 16,797.12 = 7,136.09 : x
  2. Step 2: Convert to fraction form
    12,171.78/16,797.12 = 7,136.09/x
  3. Step 3: Cross multiply
    12,171.78x = 16,797.12 × 7,136.09
  4. Step 4: Simplify right side
    12,171.78x = 119,865,676.08
  5. Step 5: Solve for x
    x = 119,865,676.08/12,171.78
  6. Step 6: Final answer
    x = 9,847.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.