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Finding the Fourth Proportional to 2,740.44, 3,780.18 and 1,993.50

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Solution

The fourth proportional to 2,740.44, 3,780.18 and 1,993.50 is: 2,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.44 : 3,780.18 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    2,740.44/3,780.18 = 1,993.50/x
  3. Step 3: Cross multiply
    2,740.44x = 3,780.18 × 1,993.50
  4. Step 4: Simplify right side
    2,740.44x = 7,535,788.83
  5. Step 5: Solve for x
    x = 7,535,788.83/2,740.44
  6. Step 6: Final answer
    x = 2,749.85

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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.