Home / 3,106.50-4,286.91-1,780.14

Finding the Fourth Proportional to 3,106.50, 4,286.91 and 1,780.14

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Solution

The fourth proportional to 3,106.50, 4,286.91 and 1,780.14 is: 2,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.50 : 4,286.91 = 1,780.14 : x
  2. Step 2: Convert to fraction form
    3,106.50/4,286.91 = 1,780.14/x
  3. Step 3: Cross multiply
    3,106.50x = 4,286.91 × 1,780.14
  4. Step 4: Simplify right side
    3,106.50x = 7,631,299.97
  5. Step 5: Solve for x
    x = 7,631,299.97/3,106.50
  6. Step 6: Final answer
    x = 2,456.56

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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.