Home / 2,134.41-3,202.44-747.90

Finding the Fourth Proportional to 2,134.41, 3,202.44 and 747.90

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Solution

The fourth proportional to 2,134.41, 3,202.44 and 747.90 is: 1,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.41 : 3,202.44 = 747.90 : x
  2. Step 2: Convert to fraction form
    2,134.41/3,202.44 = 747.90/x
  3. Step 3: Cross multiply
    2,134.41x = 3,202.44 × 747.90
  4. Step 4: Simplify right side
    2,134.41x = 2,395,085.12
  5. Step 5: Solve for x
    x = 2,395,085.12/2,134.41
  6. Step 6: Final answer
    x = 1,122.13

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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.