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Finding the Fourth Proportional to 1,891.76, 2,839.42 and 795.82

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Solution

The fourth proportional to 1,891.76, 2,839.42 and 795.82 is: 1,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.76 : 2,839.42 = 795.82 : x
  2. Step 2: Convert to fraction form
    1,891.76/2,839.42 = 795.82/x
  3. Step 3: Cross multiply
    1,891.76x = 2,839.42 × 795.82
  4. Step 4: Simplify right side
    1,891.76x = 2,259,667.22
  5. Step 5: Solve for x
    x = 2,259,667.22/1,891.76
  6. Step 6: Final answer
    x = 1,194.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.