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Finding the Fourth Proportional to 8,291.52, 11,442.60 and 5,149.44

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Solution

The fourth proportional to 8,291.52, 11,442.60 and 5,149.44 is: 7,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.52 : 11,442.60 = 5,149.44 : x
  2. Step 2: Convert to fraction form
    8,291.52/11,442.60 = 5,149.44/x
  3. Step 3: Cross multiply
    8,291.52x = 11,442.60 × 5,149.44
  4. Step 4: Simplify right side
    8,291.52x = 58,922,982.14
  5. Step 5: Solve for x
    x = 58,922,982.14/8,291.52
  6. Step 6: Final answer
    x = 7,106.42

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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.