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Finding the Fourth Proportional to 11,806.80, 16,284.96 and 7,611

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Solution

The fourth proportional to 11,806.80, 16,284.96 and 7,611 is: 10,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.80 : 16,284.96 = 7,611 : x
  2. Step 2: Convert to fraction form
    11,806.80/16,284.96 = 7,611/x
  3. Step 3: Cross multiply
    11,806.80x = 16,284.96 × 7,611
  4. Step 4: Simplify right side
    11,806.80x = 123,944,830.56
  5. Step 5: Solve for x
    x = 123,944,830.56/11,806.80
  6. Step 6: Final answer
    x = 10,497.75

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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.