Home / 2,138.82-3,205.77-982.14

Finding the Fourth Proportional to 2,138.82, 3,205.77 and 982.14

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Solution

The fourth proportional to 2,138.82, 3,205.77 and 982.14 is: 1,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.82 : 3,205.77 = 982.14 : x
  2. Step 2: Convert to fraction form
    2,138.82/3,205.77 = 982.14/x
  3. Step 3: Cross multiply
    2,138.82x = 3,205.77 × 982.14
  4. Step 4: Simplify right side
    2,138.82x = 3,148,514.95
  5. Step 5: Solve for x
    x = 3,148,514.95/2,138.82
  6. Step 6: Final answer
    x = 1,472.08

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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.