Home / 2,091.80-2,882.31-1,946

Finding the Fourth Proportional to 2,091.80, 2,882.31 and 1,946

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Solution

The fourth proportional to 2,091.80, 2,882.31 and 1,946 is: 2,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.80 : 2,882.31 = 1,946 : x
  2. Step 2: Convert to fraction form
    2,091.80/2,882.31 = 1,946/x
  3. Step 3: Cross multiply
    2,091.80x = 2,882.31 × 1,946
  4. Step 4: Simplify right side
    2,091.80x = 5,608,975.26
  5. Step 5: Solve for x
    x = 5,608,975.26/2,091.80
  6. Step 6: Final answer
    x = 2,681.41

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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.