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Finding the Fourth Proportional to 2,746, 4,119.54 and 1,408.42

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Solution

The fourth proportional to 2,746, 4,119.54 and 1,408.42 is: 2,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 4,119.54 = 1,408.42 : x
  2. Step 2: Convert to fraction form
    2,746/4,119.54 = 1,408.42/x
  3. Step 3: Cross multiply
    2,746x = 4,119.54 × 1,408.42
  4. Step 4: Simplify right side
    2,746x = 5,802,042.53
  5. Step 5: Solve for x
    x = 5,802,042.53/2,746
  6. Step 6: Final answer
    x = 2,112.91

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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.