Home / 2,122.82-3,184.14-824.21

Finding the Fourth Proportional to 2,122.82, 3,184.14 and 824.21

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Solution

The fourth proportional to 2,122.82, 3,184.14 and 824.21 is: 1,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.82 : 3,184.14 = 824.21 : x
  2. Step 2: Convert to fraction form
    2,122.82/3,184.14 = 824.21/x
  3. Step 3: Cross multiply
    2,122.82x = 3,184.14 × 824.21
  4. Step 4: Simplify right side
    2,122.82x = 2,624,400.03
  5. Step 5: Solve for x
    x = 2,624,400.03/2,122.82
  6. Step 6: Final answer
    x = 1,236.28

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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.