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Finding the Fourth Proportional to 2,129.88, 3,193.80 and 743.05

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Solution

The fourth proportional to 2,129.88, 3,193.80 and 743.05 is: 1,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.88 : 3,193.80 = 743.05 : x
  2. Step 2: Convert to fraction form
    2,129.88/3,193.80 = 743.05/x
  3. Step 3: Cross multiply
    2,129.88x = 3,193.80 × 743.05
  4. Step 4: Simplify right side
    2,129.88x = 2,373,138.98
  5. Step 5: Solve for x
    x = 2,373,138.98/2,129.88
  6. Step 6: Final answer
    x = 1,114.21

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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.