Home / 2,072.94-3,109.41-1,196.78

Finding the Fourth Proportional to 2,072.94, 3,109.41 and 1,196.78

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Solution

The fourth proportional to 2,072.94, 3,109.41 and 1,196.78 is: 1,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.94 : 3,109.41 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    2,072.94/3,109.41 = 1,196.78/x
  3. Step 3: Cross multiply
    2,072.94x = 3,109.41 × 1,196.78
  4. Step 4: Simplify right side
    2,072.94x = 3,721,267.52
  5. Step 5: Solve for x
    x = 3,721,267.52/2,072.94
  6. Step 6: Final answer
    x = 1,795.16

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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.