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Finding the Fourth Proportional to 2,166.94, 3,249.60 and 685.99

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Solution

The fourth proportional to 2,166.94, 3,249.60 and 685.99 is: 1,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.94 : 3,249.60 = 685.99 : x
  2. Step 2: Convert to fraction form
    2,166.94/3,249.60 = 685.99/x
  3. Step 3: Cross multiply
    2,166.94x = 3,249.60 × 685.99
  4. Step 4: Simplify right side
    2,166.94x = 2,229,193.10
  5. Step 5: Solve for x
    x = 2,229,193.10/2,166.94
  6. Step 6: Final answer
    x = 1,028.73

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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.