Home / 2,121.14-3,181.98-786.75

Finding the Fourth Proportional to 2,121.14, 3,181.98 and 786.75

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Solution

The fourth proportional to 2,121.14, 3,181.98 and 786.75 is: 1,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.14 : 3,181.98 = 786.75 : x
  2. Step 2: Convert to fraction form
    2,121.14/3,181.98 = 786.75/x
  3. Step 3: Cross multiply
    2,121.14x = 3,181.98 × 786.75
  4. Step 4: Simplify right side
    2,121.14x = 2,503,422.77
  5. Step 5: Solve for x
    x = 2,503,422.77/2,121.14
  6. Step 6: Final answer
    x = 1,180.23

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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.