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Finding the Fourth Proportional to 7,906.88, 10,912.38 and 4,763

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Solution

The fourth proportional to 7,906.88, 10,912.38 and 4,763 is: 6,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.88 : 10,912.38 = 4,763 : x
  2. Step 2: Convert to fraction form
    7,906.88/10,912.38 = 4,763/x
  3. Step 3: Cross multiply
    7,906.88x = 10,912.38 × 4,763
  4. Step 4: Simplify right side
    7,906.88x = 51,975,665.94
  5. Step 5: Solve for x
    x = 51,975,665.94/7,906.88
  6. Step 6: Final answer
    x = 6,573.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.