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Finding the Fourth Proportional to 1,805.73, 2,491.82 and 1,019.82

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Solution

The fourth proportional to 1,805.73, 2,491.82 and 1,019.82 is: 1,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.73 : 2,491.82 = 1,019.82 : x
  2. Step 2: Convert to fraction form
    1,805.73/2,491.82 = 1,019.82/x
  3. Step 3: Cross multiply
    1,805.73x = 2,491.82 × 1,019.82
  4. Step 4: Simplify right side
    1,805.73x = 2,541,215.94
  5. Step 5: Solve for x
    x = 2,541,215.94/1,805.73
  6. Step 6: Final answer
    x = 1,407.31

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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.