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Finding the Fourth Proportional to 2,740.56, 3,781.86 and 1,498.56

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Solution

The fourth proportional to 2,740.56, 3,781.86 and 1,498.56 is: 2,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.56 : 3,781.86 = 1,498.56 : x
  2. Step 2: Convert to fraction form
    2,740.56/3,781.86 = 1,498.56/x
  3. Step 3: Cross multiply
    2,740.56x = 3,781.86 × 1,498.56
  4. Step 4: Simplify right side
    2,740.56x = 5,667,344.12
  5. Step 5: Solve for x
    x = 5,667,344.12/2,740.56
  6. Step 6: Final answer
    x = 2,067.95

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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.