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Finding the Fourth Proportional to 2,668.66, 3,685.97 and 1,959.49

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Solution

The fourth proportional to 2,668.66, 3,685.97 and 1,959.49 is: 2,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.66 : 3,685.97 = 1,959.49 : x
  2. Step 2: Convert to fraction form
    2,668.66/3,685.97 = 1,959.49/x
  3. Step 3: Cross multiply
    2,668.66x = 3,685.97 × 1,959.49
  4. Step 4: Simplify right side
    2,668.66x = 7,222,621.36
  5. Step 5: Solve for x
    x = 7,222,621.36/2,668.66
  6. Step 6: Final answer
    x = 2,706.46

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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.