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Finding the Fourth Proportional to 2,497.26, 3,745.62 and 1,398.18

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Solution

The fourth proportional to 2,497.26, 3,745.62 and 1,398.18 is: 2,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.26 : 3,745.62 = 1,398.18 : x
  2. Step 2: Convert to fraction form
    2,497.26/3,745.62 = 1,398.18/x
  3. Step 3: Cross multiply
    2,497.26x = 3,745.62 × 1,398.18
  4. Step 4: Simplify right side
    2,497.26x = 5,237,050.97
  5. Step 5: Solve for x
    x = 5,237,050.97/2,497.26
  6. Step 6: Final answer
    x = 2,097.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.