Home / 1,940.06-2,909.36-829.35

Finding the Fourth Proportional to 1,940.06, 2,909.36 and 829.35

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Solution

The fourth proportional to 1,940.06, 2,909.36 and 829.35 is: 1,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.06 : 2,909.36 = 829.35 : x
  2. Step 2: Convert to fraction form
    1,940.06/2,909.36 = 829.35/x
  3. Step 3: Cross multiply
    1,940.06x = 2,909.36 × 829.35
  4. Step 4: Simplify right side
    1,940.06x = 2,412,873.57
  5. Step 5: Solve for x
    x = 2,412,873.57/1,940.06
  6. Step 6: Final answer
    x = 1,243.71

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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.