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Finding the Fourth Proportional to 1,940.54, 2,676.72 and 1,154

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Solution

The fourth proportional to 1,940.54, 2,676.72 and 1,154 is: 1,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.54 : 2,676.72 = 1,154 : x
  2. Step 2: Convert to fraction form
    1,940.54/2,676.72 = 1,154/x
  3. Step 3: Cross multiply
    1,940.54x = 2,676.72 × 1,154
  4. Step 4: Simplify right side
    1,940.54x = 3,088,934.88
  5. Step 5: Solve for x
    x = 3,088,934.88/1,940.54
  6. Step 6: Final answer
    x = 1,591.79

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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.