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Finding the Fourth Proportional to 1,278.43, 1,761.96 and 1,100.93

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Solution

The fourth proportional to 1,278.43, 1,761.96 and 1,100.93 is: 1,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.43 : 1,761.96 = 1,100.93 : x
  2. Step 2: Convert to fraction form
    1,278.43/1,761.96 = 1,100.93/x
  3. Step 3: Cross multiply
    1,278.43x = 1,761.96 × 1,100.93
  4. Step 4: Simplify right side
    1,278.43x = 1,939,794.62
  5. Step 5: Solve for x
    x = 1,939,794.62/1,278.43
  6. Step 6: Final answer
    x = 1,517.33

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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.