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Finding the Fourth Proportional to 1,940.84, 2,676.79 and 1,193.47

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Solution

The fourth proportional to 1,940.84, 2,676.79 and 1,193.47 is: 1,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.84 : 2,676.79 = 1,193.47 : x
  2. Step 2: Convert to fraction form
    1,940.84/2,676.79 = 1,193.47/x
  3. Step 3: Cross multiply
    1,940.84x = 2,676.79 × 1,193.47
  4. Step 4: Simplify right side
    1,940.84x = 3,194,668.56
  5. Step 5: Solve for x
    x = 3,194,668.56/1,940.84
  6. Step 6: Final answer
    x = 1,646.02

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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.