Home / 3,022.12-4,533.20-830.80

Finding the Fourth Proportional to 3,022.12, 4,533.20 and 830.80

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Solution

The fourth proportional to 3,022.12, 4,533.20 and 830.80 is: 1,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.12 : 4,533.20 = 830.80 : x
  2. Step 2: Convert to fraction form
    3,022.12/4,533.20 = 830.80/x
  3. Step 3: Cross multiply
    3,022.12x = 4,533.20 × 830.80
  4. Step 4: Simplify right side
    3,022.12x = 3,766,182.56
  5. Step 5: Solve for x
    x = 3,766,182.56/3,022.12
  6. Step 6: Final answer
    x = 1,246.21

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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.