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Finding the Fourth Proportional to 11,823.57, 16,315.83 and 6,786.99

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Solution

The fourth proportional to 11,823.57, 16,315.83 and 6,786.99 is: 9,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.57 : 16,315.83 = 6,786.99 : x
  2. Step 2: Convert to fraction form
    11,823.57/16,315.83 = 6,786.99/x
  3. Step 3: Cross multiply
    11,823.57x = 16,315.83 × 6,786.99
  4. Step 4: Simplify right side
    11,823.57x = 110,735,375.05
  5. Step 5: Solve for x
    x = 110,735,375.05/11,823.57
  6. Step 6: Final answer
    x = 9,365.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.