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Finding the Fourth Proportional to 11,891.50, 16,410.10 and 6,855.73

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Solution

The fourth proportional to 11,891.50, 16,410.10 and 6,855.73 is: 9,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.50 : 16,410.10 = 6,855.73 : x
  2. Step 2: Convert to fraction form
    11,891.50/16,410.10 = 6,855.73/x
  3. Step 3: Cross multiply
    11,891.50x = 16,410.10 × 6,855.73
  4. Step 4: Simplify right side
    11,891.50x = 112,503,098.54
  5. Step 5: Solve for x
    x = 112,503,098.54/11,891.50
  6. Step 6: Final answer
    x = 9,460.80

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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.