Home / 2,122.13-3,183.41-735.15

Finding the Fourth Proportional to 2,122.13, 3,183.41 and 735.15

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Solution

The fourth proportional to 2,122.13, 3,183.41 and 735.15 is: 1,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.13 : 3,183.41 = 735.15 : x
  2. Step 2: Convert to fraction form
    2,122.13/3,183.41 = 735.15/x
  3. Step 3: Cross multiply
    2,122.13x = 3,183.41 × 735.15
  4. Step 4: Simplify right side
    2,122.13x = 2,340,269.63
  5. Step 5: Solve for x
    x = 2,340,269.63/2,122.13
  6. Step 6: Final answer
    x = 1,102.79

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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.