Home / 2,134.10-3,201.49-747.40

Finding the Fourth Proportional to 2,134.10, 3,201.49 and 747.40

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Solution

The fourth proportional to 2,134.10, 3,201.49 and 747.40 is: 1,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.10 : 3,201.49 = 747.40 : x
  2. Step 2: Convert to fraction form
    2,134.10/3,201.49 = 747.40/x
  3. Step 3: Cross multiply
    2,134.10x = 3,201.49 × 747.40
  4. Step 4: Simplify right side
    2,134.10x = 2,392,793.63
  5. Step 5: Solve for x
    x = 2,392,793.63/2,134.10
  6. Step 6: Final answer
    x = 1,121.22

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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.