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Finding the Fourth Proportional to 11,121.99, 16,682.40 and 2,802

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Solution

The fourth proportional to 11,121.99, 16,682.40 and 2,802 is: 4,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.99 : 16,682.40 = 2,802 : x
  2. Step 2: Convert to fraction form
    11,121.99/16,682.40 = 2,802/x
  3. Step 3: Cross multiply
    11,121.99x = 16,682.40 × 2,802
  4. Step 4: Simplify right side
    11,121.99x = 46,744,084.80
  5. Step 5: Solve for x
    x = 46,744,084.80/11,121.99
  6. Step 6: Final answer
    x = 4,202.85

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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.