Home / 3,020.70-4,530.83-829.24

Finding the Fourth Proportional to 3,020.70, 4,530.83 and 829.24

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Solution

The fourth proportional to 3,020.70, 4,530.83 and 829.24 is: 1,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.70 : 4,530.83 = 829.24 : x
  2. Step 2: Convert to fraction form
    3,020.70/4,530.83 = 829.24/x
  3. Step 3: Cross multiply
    3,020.70x = 4,530.83 × 829.24
  4. Step 4: Simplify right side
    3,020.70x = 3,757,145.47
  5. Step 5: Solve for x
    x = 3,757,145.47/3,020.70
  6. Step 6: Final answer
    x = 1,243.80

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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.