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Finding the Fourth Proportional to 6,965.75, 9,611.06 and 3,940.93

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Solution

The fourth proportional to 6,965.75, 9,611.06 and 3,940.93 is: 5,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.75 : 9,611.06 = 3,940.93 : x
  2. Step 2: Convert to fraction form
    6,965.75/9,611.06 = 3,940.93/x
  3. Step 3: Cross multiply
    6,965.75x = 9,611.06 × 3,940.93
  4. Step 4: Simplify right side
    6,965.75x = 37,876,446.93
  5. Step 5: Solve for x
    x = 37,876,446.93/6,965.75
  6. Step 6: Final answer
    x = 5,437.53

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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.