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Finding the Fourth Proportional to 2,745.19, 3,788.17 and 1,549.81

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Solution

The fourth proportional to 2,745.19, 3,788.17 and 1,549.81 is: 2,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.19 : 3,788.17 = 1,549.81 : x
  2. Step 2: Convert to fraction form
    2,745.19/3,788.17 = 1,549.81/x
  3. Step 3: Cross multiply
    2,745.19x = 3,788.17 × 1,549.81
  4. Step 4: Simplify right side
    2,745.19x = 5,870,933.95
  5. Step 5: Solve for x
    x = 5,870,933.95/2,745.19
  6. Step 6: Final answer
    x = 2,138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.