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Finding the Fourth Proportional to 11,442.40, 17,176.40 and 6,245.60

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Solution

The fourth proportional to 11,442.40, 17,176.40 and 6,245.60 is: 9,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.40 : 17,176.40 = 6,245.60 : x
  2. Step 2: Convert to fraction form
    11,442.40/17,176.40 = 6,245.60/x
  3. Step 3: Cross multiply
    11,442.40x = 17,176.40 × 6,245.60
  4. Step 4: Simplify right side
    11,442.40x = 107,276,923.84
  5. Step 5: Solve for x
    x = 107,276,923.84/11,442.40
  6. Step 6: Final answer
    x = 9,375.39

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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.