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Finding the Fourth Proportional to 1,369.67, 1,891.34 and 1,074.43

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Solution

The fourth proportional to 1,369.67, 1,891.34 and 1,074.43 is: 1,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.67 : 1,891.34 = 1,074.43 : x
  2. Step 2: Convert to fraction form
    1,369.67/1,891.34 = 1,074.43/x
  3. Step 3: Cross multiply
    1,369.67x = 1,891.34 × 1,074.43
  4. Step 4: Simplify right side
    1,369.67x = 2,032,112.44
  5. Step 5: Solve for x
    x = 2,032,112.44/1,369.67
  6. Step 6: Final answer
    x = 1,483.65

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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.