Home / 3,074.77-4,611.58-823.33

Finding the Fourth Proportional to 3,074.77, 4,611.58 and 823.33

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Solution

The fourth proportional to 3,074.77, 4,611.58 and 823.33 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.77 : 4,611.58 = 823.33 : x
  2. Step 2: Convert to fraction form
    3,074.77/4,611.58 = 823.33/x
  3. Step 3: Cross multiply
    3,074.77x = 4,611.58 × 823.33
  4. Step 4: Simplify right side
    3,074.77x = 3,796,834.56
  5. Step 5: Solve for x
    x = 3,796,834.56/3,074.77
  6. Step 6: Final answer
    x = 1,234.83

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1.5x scale

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.