Home / 2,198.21-3,298.58-812.51

Finding the Fourth Proportional to 2,198.21, 3,298.58 and 812.51

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Solution

The fourth proportional to 2,198.21, 3,298.58 and 812.51 is: 1,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.21 : 3,298.58 = 812.51 : x
  2. Step 2: Convert to fraction form
    2,198.21/3,298.58 = 812.51/x
  3. Step 3: Cross multiply
    2,198.21x = 3,298.58 × 812.51
  4. Step 4: Simplify right side
    2,198.21x = 2,680,108.68
  5. Step 5: Solve for x
    x = 2,680,108.68/2,198.21
  6. Step 6: Final answer
    x = 1,219.23

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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.