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Finding the Fourth Proportional to 11,891.88, 16,409.12 and 6,855.70

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Solution

The fourth proportional to 11,891.88, 16,409.12 and 6,855.70 is: 9,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.88 : 16,409.12 = 6,855.70 : x
  2. Step 2: Convert to fraction form
    11,891.88/16,409.12 = 6,855.70/x
  3. Step 3: Cross multiply
    11,891.88x = 16,409.12 × 6,855.70
  4. Step 4: Simplify right side
    11,891.88x = 112,496,003.98
  5. Step 5: Solve for x
    x = 112,496,003.98/11,891.88
  6. Step 6: Final answer
    x = 9,459.90

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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.