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Finding the Fourth Proportional to 4,296, 6,442.72 and 2,908.48

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Solution

The fourth proportional to 4,296, 6,442.72 and 2,908.48 is: 4,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 6,442.72 = 2,908.48 : x
  2. Step 2: Convert to fraction form
    4,296/6,442.72 = 2,908.48/x
  3. Step 3: Cross multiply
    4,296x = 6,442.72 × 2,908.48
  4. Step 4: Simplify right side
    4,296x = 18,738,522.27
  5. Step 5: Solve for x
    x = 18,738,522.27/4,296
  6. Step 6: Final answer
    x = 4,361.85

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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.