Home / 2,134.16-3,202.06-747.65

Finding the Fourth Proportional to 2,134.16, 3,202.06 and 747.65

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Solution

The fourth proportional to 2,134.16, 3,202.06 and 747.65 is: 1,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.16 : 3,202.06 = 747.65 : x
  2. Step 2: Convert to fraction form
    2,134.16/3,202.06 = 747.65/x
  3. Step 3: Cross multiply
    2,134.16x = 3,202.06 × 747.65
  4. Step 4: Simplify right side
    2,134.16x = 2,394,002.28
  5. Step 5: Solve for x
    x = 2,394,002.28/2,134.16
  6. Step 6: Final answer
    x = 1,121.76

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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.