Home / 1,940.09-2,909.43-844.19

Finding the Fourth Proportional to 1,940.09, 2,909.43 and 844.19

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Solution

The fourth proportional to 1,940.09, 2,909.43 and 844.19 is: 1,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.09 : 2,909.43 = 844.19 : x
  2. Step 2: Convert to fraction form
    1,940.09/2,909.43 = 844.19/x
  3. Step 3: Cross multiply
    1,940.09x = 2,909.43 × 844.19
  4. Step 4: Simplify right side
    1,940.09x = 2,456,097.16
  5. Step 5: Solve for x
    x = 2,456,097.16/1,940.09
  6. Step 6: Final answer
    x = 1,265.97

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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.