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Finding the Fourth Proportional to 11,277, 16,920.36 and 6,660

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Solution

The fourth proportional to 11,277, 16,920.36 and 6,660 is: 9,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277 : 16,920.36 = 6,660 : x
  2. Step 2: Convert to fraction form
    11,277/16,920.36 = 6,660/x
  3. Step 3: Cross multiply
    11,277x = 16,920.36 × 6,660
  4. Step 4: Simplify right side
    11,277x = 112,689,597.60
  5. Step 5: Solve for x
    x = 112,689,597.60/11,277
  6. Step 6: Final answer
    x = 9,992.87

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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.