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Finding the Fourth Proportional to 12,855.28, 17,745.18 and 8,380.12

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Solution

The fourth proportional to 12,855.28, 17,745.18 and 8,380.12 is: 11,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.28 : 17,745.18 = 8,380.12 : x
  2. Step 2: Convert to fraction form
    12,855.28/17,745.18 = 8,380.12/x
  3. Step 3: Cross multiply
    12,855.28x = 17,745.18 × 8,380.12
  4. Step 4: Simplify right side
    12,855.28x = 148,706,737.82
  5. Step 5: Solve for x
    x = 148,706,737.82/12,855.28
  6. Step 6: Final answer
    x = 11,567.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.