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Finding the Fourth Proportional to 7,770.87, 11,596.14 and 6,940.22

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Solution

The fourth proportional to 7,770.87, 11,596.14 and 6,940.22 is: 10,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.87 : 11,596.14 = 6,940.22 : x
  2. Step 2: Convert to fraction form
    7,770.87/11,596.14 = 6,940.22/x
  3. Step 3: Cross multiply
    7,770.87x = 11,596.14 × 6,940.22
  4. Step 4: Simplify right side
    7,770.87x = 80,479,704.77
  5. Step 5: Solve for x
    x = 80,479,704.77/7,770.87
  6. Step 6: Final answer
    x = 10,356.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.