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Finding the Fourth Proportional to 5,388.48, 8,076.48 and 2,099.76

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Solution

The fourth proportional to 5,388.48, 8,076.48 and 2,099.76 is: 3,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.48 : 8,076.48 = 2,099.76 : x
  2. Step 2: Convert to fraction form
    5,388.48/8,076.48 = 2,099.76/x
  3. Step 3: Cross multiply
    5,388.48x = 8,076.48 × 2,099.76
  4. Step 4: Simplify right side
    5,388.48x = 16,958,669.64
  5. Step 5: Solve for x
    x = 16,958,669.64/5,388.48
  6. Step 6: Final answer
    x = 3,147.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.