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Finding the Fourth Proportional to 8,961.88, 13,441 and 8,517.30

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Solution

The fourth proportional to 8,961.88, 13,441 and 8,517.30 is: 12,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.88 : 13,441 = 8,517.30 : x
  2. Step 2: Convert to fraction form
    8,961.88/13,441 = 8,517.30/x
  3. Step 3: Cross multiply
    8,961.88x = 13,441 × 8,517.30
  4. Step 4: Simplify right side
    8,961.88x = 114,481,029.30
  5. Step 5: Solve for x
    x = 114,481,029.30/8,961.88
  6. Step 6: Final answer
    x = 12,774.22

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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.