Home / 2,974.32-4,103.25-1,778.65

Finding the Fourth Proportional to 2,974.32, 4,103.25 and 1,778.65

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Solution

The fourth proportional to 2,974.32, 4,103.25 and 1,778.65 is: 2,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.32 : 4,103.25 = 1,778.65 : x
  2. Step 2: Convert to fraction form
    2,974.32/4,103.25 = 1,778.65/x
  3. Step 3: Cross multiply
    2,974.32x = 4,103.25 × 1,778.65
  4. Step 4: Simplify right side
    2,974.32x = 7,298,239.80
  5. Step 5: Solve for x
    x = 7,298,239.80/2,974.32
  6. Step 6: Final answer
    x = 2,453.75

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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.