Home / 2,121.26-3,180.67-821.21

Finding the Fourth Proportional to 2,121.26, 3,180.67 and 821.21

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Solution

The fourth proportional to 2,121.26, 3,180.67 and 821.21 is: 1,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.26 : 3,180.67 = 821.21 : x
  2. Step 2: Convert to fraction form
    2,121.26/3,180.67 = 821.21/x
  3. Step 3: Cross multiply
    2,121.26x = 3,180.67 × 821.21
  4. Step 4: Simplify right side
    2,121.26x = 2,611,980.05
  5. Step 5: Solve for x
    x = 2,611,980.05/2,121.26
  6. Step 6: Final answer
    x = 1,231.34

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1.5x scale

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.