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Finding the Fourth Proportional to 6,964.74, 9,611.28 and 3,778.02

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Solution

The fourth proportional to 6,964.74, 9,611.28 and 3,778.02 is: 5,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.74 : 9,611.28 = 3,778.02 : x
  2. Step 2: Convert to fraction form
    6,964.74/9,611.28 = 3,778.02/x
  3. Step 3: Cross multiply
    6,964.74x = 9,611.28 × 3,778.02
  4. Step 4: Simplify right side
    6,964.74x = 36,311,608.07
  5. Step 5: Solve for x
    x = 36,311,608.07/6,964.74
  6. Step 6: Final answer
    x = 5,213.63

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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.