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Finding the Fourth Proportional to 11,137.80, 16,722.90 and 8,383.80

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Solution

The fourth proportional to 11,137.80, 16,722.90 and 8,383.80 is: 12,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.80 : 16,722.90 = 8,383.80 : x
  2. Step 2: Convert to fraction form
    11,137.80/16,722.90 = 8,383.80/x
  3. Step 3: Cross multiply
    11,137.80x = 16,722.90 × 8,383.80
  4. Step 4: Simplify right side
    11,137.80x = 140,201,449.02
  5. Step 5: Solve for x
    x = 140,201,449.02/11,137.80
  6. Step 6: Final answer
    x = 12,587.89

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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.