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Finding the Fourth Proportional to 2,243.72, 3,365.62 and 857.70

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Solution

The fourth proportional to 2,243.72, 3,365.62 and 857.70 is: 1,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.72 : 3,365.62 = 857.70 : x
  2. Step 2: Convert to fraction form
    2,243.72/3,365.62 = 857.70/x
  3. Step 3: Cross multiply
    2,243.72x = 3,365.62 × 857.70
  4. Step 4: Simplify right side
    2,243.72x = 2,886,692.27
  5. Step 5: Solve for x
    x = 2,886,692.27/2,243.72
  6. Step 6: Final answer
    x = 1,286.57

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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.