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Finding the Fourth Proportional to 3,442.47, 5,163.71 and 845.41

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Solution

The fourth proportional to 3,442.47, 5,163.71 and 845.41 is: 1,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.47 : 5,163.71 = 845.41 : x
  2. Step 2: Convert to fraction form
    3,442.47/5,163.71 = 845.41/x
  3. Step 3: Cross multiply
    3,442.47x = 5,163.71 × 845.41
  4. Step 4: Simplify right side
    3,442.47x = 4,365,452.07
  5. Step 5: Solve for x
    x = 4,365,452.07/3,442.47
  6. Step 6: Final answer
    x = 1,268.12

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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.