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Finding the Fourth Proportional to 6,922.80, 10,384.22 and 2,763.86

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Solution

The fourth proportional to 6,922.80, 10,384.22 and 2,763.86 is: 4,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.80 : 10,384.22 = 2,763.86 : x
  2. Step 2: Convert to fraction form
    6,922.80/10,384.22 = 2,763.86/x
  3. Step 3: Cross multiply
    6,922.80x = 10,384.22 × 2,763.86
  4. Step 4: Simplify right side
    6,922.80x = 28,700,485.28
  5. Step 5: Solve for x
    x = 28,700,485.28/6,922.80
  6. Step 6: Final answer
    x = 4,145.79

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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.