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Finding the Fourth Proportional to 5,481.50, 7,564.74 and 3,123.78

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Solution

The fourth proportional to 5,481.50, 7,564.74 and 3,123.78 is: 4,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.50 : 7,564.74 = 3,123.78 : x
  2. Step 2: Convert to fraction form
    5,481.50/7,564.74 = 3,123.78/x
  3. Step 3: Cross multiply
    5,481.50x = 7,564.74 × 3,123.78
  4. Step 4: Simplify right side
    5,481.50x = 23,630,583.52
  5. Step 5: Solve for x
    x = 23,630,583.52/5,481.50
  6. Step 6: Final answer
    x = 4,310.97

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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.