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Finding the Fourth Proportional to 3,781.33, 5,672.01 and 1,314.43

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Solution

The fourth proportional to 3,781.33, 5,672.01 and 1,314.43 is: 1,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.33 : 5,672.01 = 1,314.43 : x
  2. Step 2: Convert to fraction form
    3,781.33/5,672.01 = 1,314.43/x
  3. Step 3: Cross multiply
    3,781.33x = 5,672.01 × 1,314.43
  4. Step 4: Simplify right side
    3,781.33x = 7,455,450.85
  5. Step 5: Solve for x
    x = 7,455,450.85/3,781.33
  6. Step 6: Final answer
    x = 1,971.65

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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.