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Finding the Fourth Proportional to 6,912.44, 9,539.23 and 3,768.69

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Solution

The fourth proportional to 6,912.44, 9,539.23 and 3,768.69 is: 5,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.44 : 9,539.23 = 3,768.69 : x
  2. Step 2: Convert to fraction form
    6,912.44/9,539.23 = 3,768.69/x
  3. Step 3: Cross multiply
    6,912.44x = 9,539.23 × 3,768.69
  4. Step 4: Simplify right side
    6,912.44x = 35,950,400.71
  5. Step 5: Solve for x
    x = 35,950,400.71/6,912.44
  6. Step 6: Final answer
    x = 5,200.83

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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.