Home / 3,106.82-4,286.85-1,780.22

Finding the Fourth Proportional to 3,106.82, 4,286.85 and 1,780.22

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Solution

The fourth proportional to 3,106.82, 4,286.85 and 1,780.22 is: 2,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.82 : 4,286.85 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    3,106.82/4,286.85 = 1,780.22/x
  3. Step 3: Cross multiply
    3,106.82x = 4,286.85 × 1,780.22
  4. Step 4: Simplify right side
    3,106.82x = 7,631,536.11
  5. Step 5: Solve for x
    x = 7,631,536.11/3,106.82
  6. Step 6: Final answer
    x = 2,456.38

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Find fourth proportional to 3,107.82, 4,288.23 and 1,781.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.