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Finding the Fourth Proportional to 7,580.54, 11,349.82 and 3,874.78

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Solution

The fourth proportional to 7,580.54, 11,349.82 and 3,874.78 is: 5,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.54 : 11,349.82 = 3,874.78 : x
  2. Step 2: Convert to fraction form
    7,580.54/11,349.82 = 3,874.78/x
  3. Step 3: Cross multiply
    7,580.54x = 11,349.82 × 3,874.78
  4. Step 4: Simplify right side
    7,580.54x = 43,978,055.54
  5. Step 5: Solve for x
    x = 43,978,055.54/7,580.54
  6. Step 6: Final answer
    x = 5,801.44

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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.