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Finding the Fourth Proportional to 2,789.73, 4,185.27 and 841.82

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Solution

The fourth proportional to 2,789.73, 4,185.27 and 841.82 is: 1,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.73 : 4,185.27 = 841.82 : x
  2. Step 2: Convert to fraction form
    2,789.73/4,185.27 = 841.82/x
  3. Step 3: Cross multiply
    2,789.73x = 4,185.27 × 841.82
  4. Step 4: Simplify right side
    2,789.73x = 3,523,223.07
  5. Step 5: Solve for x
    x = 3,523,223.07/2,789.73
  6. Step 6: Final answer
    x = 1,262.93

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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.