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Finding the Fourth Proportional to 4,119.41, 5,687.41 and 2,705.61

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Solution

The fourth proportional to 4,119.41, 5,687.41 and 2,705.61 is: 3,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.41 : 5,687.41 = 2,705.61 : x
  2. Step 2: Convert to fraction form
    4,119.41/5,687.41 = 2,705.61/x
  3. Step 3: Cross multiply
    4,119.41x = 5,687.41 × 2,705.61
  4. Step 4: Simplify right side
    4,119.41x = 15,387,913.37
  5. Step 5: Solve for x
    x = 15,387,913.37/4,119.41
  6. Step 6: Final answer
    x = 3,735.47

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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.