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Finding the Fourth Proportional to 5,408.64, 8,100 and 4,825.44

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Solution

The fourth proportional to 5,408.64, 8,100 and 4,825.44 is: 7,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.64 : 8,100 = 4,825.44 : x
  2. Step 2: Convert to fraction form
    5,408.64/8,100 = 4,825.44/x
  3. Step 3: Cross multiply
    5,408.64x = 8,100 × 4,825.44
  4. Step 4: Simplify right side
    5,408.64x = 39,086,064
  5. Step 5: Solve for x
    x = 39,086,064/5,408.64
  6. Step 6: Final answer
    x = 7,226.60

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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.