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Finding the Fourth Proportional to 6,121.72, 8,448.06 and 3,763

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Solution

The fourth proportional to 6,121.72, 8,448.06 and 3,763 is: 5,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.72 : 8,448.06 = 3,763 : x
  2. Step 2: Convert to fraction form
    6,121.72/8,448.06 = 3,763/x
  3. Step 3: Cross multiply
    6,121.72x = 8,448.06 × 3,763
  4. Step 4: Simplify right side
    6,121.72x = 31,790,049.78
  5. Step 5: Solve for x
    x = 31,790,049.78/6,121.72
  6. Step 6: Final answer
    x = 5,192.99

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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.