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Finding the Fourth Proportional to 1,940.52, 2,678.49 and 1,155.09

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Solution

The fourth proportional to 1,940.52, 2,678.49 and 1,155.09 is: 1,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.52 : 2,678.49 = 1,155.09 : x
  2. Step 2: Convert to fraction form
    1,940.52/2,678.49 = 1,155.09/x
  3. Step 3: Cross multiply
    1,940.52x = 2,678.49 × 1,155.09
  4. Step 4: Simplify right side
    1,940.52x = 3,093,897.01
  5. Step 5: Solve for x
    x = 3,093,897.01/1,940.52
  6. Step 6: Final answer
    x = 1,594.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.