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Finding the Fourth Proportional to 2,219.38, 3,329.44 and 832.83

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Solution

The fourth proportional to 2,219.38, 3,329.44 and 832.83 is: 1,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.38 : 3,329.44 = 832.83 : x
  2. Step 2: Convert to fraction form
    2,219.38/3,329.44 = 832.83/x
  3. Step 3: Cross multiply
    2,219.38x = 3,329.44 × 832.83
  4. Step 4: Simplify right side
    2,219.38x = 2,772,844.61
  5. Step 5: Solve for x
    x = 2,772,844.61/2,219.38
  6. Step 6: Final answer
    x = 1,249.38

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1.5x scale

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.