Home / 3,106.08-4,286.38-1,779.78

Finding the Fourth Proportional to 3,106.08, 4,286.38 and 1,779.78

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Solution

The fourth proportional to 3,106.08, 4,286.38 and 1,779.78 is: 2,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.08 : 4,286.38 = 1,779.78 : x
  2. Step 2: Convert to fraction form
    3,106.08/4,286.38 = 1,779.78/x
  3. Step 3: Cross multiply
    3,106.08x = 4,286.38 × 1,779.78
  4. Step 4: Simplify right side
    3,106.08x = 7,628,813.40
  5. Step 5: Solve for x
    x = 7,628,813.40/3,106.08
  6. Step 6: Final answer
    x = 2,456.09

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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.