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Finding the Fourth Proportional to 2,122.01, 3,183.31 and 734.98

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Solution

The fourth proportional to 2,122.01, 3,183.31 and 734.98 is: 1,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.01 : 3,183.31 = 734.98 : x
  2. Step 2: Convert to fraction form
    2,122.01/3,183.31 = 734.98/x
  3. Step 3: Cross multiply
    2,122.01x = 3,183.31 × 734.98
  4. Step 4: Simplify right side
    2,122.01x = 2,339,669.18
  5. Step 5: Solve for x
    x = 2,339,669.18/2,122.01
  6. Step 6: Final answer
    x = 1,102.57

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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.