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Finding the Fourth Proportional to 12,205.10, 18,311.09 and 3,440.09

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Solution

The fourth proportional to 12,205.10, 18,311.09 and 3,440.09 is: 5,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.10 : 18,311.09 = 3,440.09 : x
  2. Step 2: Convert to fraction form
    12,205.10/18,311.09 = 3,440.09/x
  3. Step 3: Cross multiply
    12,205.10x = 18,311.09 × 3,440.09
  4. Step 4: Simplify right side
    12,205.10x = 62,991,797.60
  5. Step 5: Solve for x
    x = 62,991,797.60/12,205.10
  6. Step 6: Final answer
    x = 5,161.10

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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.