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Finding the Fourth Proportional to 8,107.70, 12,154.80 and 3,431.30

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Solution

The fourth proportional to 8,107.70, 12,154.80 and 3,431.30 is: 5,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.70 : 12,154.80 = 3,431.30 : x
  2. Step 2: Convert to fraction form
    8,107.70/12,154.80 = 3,431.30/x
  3. Step 3: Cross multiply
    8,107.70x = 12,154.80 × 3,431.30
  4. Step 4: Simplify right side
    8,107.70x = 41,706,765.24
  5. Step 5: Solve for x
    x = 41,706,765.24/8,107.70
  6. Step 6: Final answer
    x = 5,144.09

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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.