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Finding the Fourth Proportional to 12,138.70, 18,208.05 and 7,205.80

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Solution

The fourth proportional to 12,138.70, 18,208.05 and 7,205.80 is: 10,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.70 : 18,208.05 = 7,205.80 : x
  2. Step 2: Convert to fraction form
    12,138.70/18,208.05 = 7,205.80/x
  3. Step 3: Cross multiply
    12,138.70x = 18,208.05 × 7,205.80
  4. Step 4: Simplify right side
    12,138.70x = 131,203,566.69
  5. Step 5: Solve for x
    x = 131,203,566.69/12,138.70
  6. Step 6: Final answer
    x = 10,808.70

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Similar ratio
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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.