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Finding the Fourth Proportional to 2,743.74, 3,786.12 and 1,548.81

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Solution

The fourth proportional to 2,743.74, 3,786.12 and 1,548.81 is: 2,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.74 : 3,786.12 = 1,548.81 : x
  2. Step 2: Convert to fraction form
    2,743.74/3,786.12 = 1,548.81/x
  3. Step 3: Cross multiply
    2,743.74x = 3,786.12 × 1,548.81
  4. Step 4: Simplify right side
    2,743.74x = 5,863,980.52
  5. Step 5: Solve for x
    x = 5,863,980.52/2,743.74
  6. Step 6: Final answer
    x = 2,137.22

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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.