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Finding the Fourth Proportional to 12,797.32, 19,163.78 and 8,103.12

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Solution

The fourth proportional to 12,797.32, 19,163.78 and 8,103.12 is: 12,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.32 : 19,163.78 = 8,103.12 : x
  2. Step 2: Convert to fraction form
    12,797.32/19,163.78 = 8,103.12/x
  3. Step 3: Cross multiply
    12,797.32x = 19,163.78 × 8,103.12
  4. Step 4: Simplify right side
    12,797.32x = 155,286,408.99
  5. Step 5: Solve for x
    x = 155,286,408.99/12,797.32
  6. Step 6: Final answer
    x = 12,134.29

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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.