Home / 3,020.46-4,530.83-829.21

Finding the Fourth Proportional to 3,020.46, 4,530.83 and 829.21

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Solution

The fourth proportional to 3,020.46, 4,530.83 and 829.21 is: 1,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.46 : 4,530.83 = 829.21 : x
  2. Step 2: Convert to fraction form
    3,020.46/4,530.83 = 829.21/x
  3. Step 3: Cross multiply
    3,020.46x = 4,530.83 × 829.21
  4. Step 4: Simplify right side
    3,020.46x = 3,756,994.07
  5. Step 5: Solve for x
    x = 3,756,994.07/3,020.46
  6. Step 6: Final answer
    x = 1,243.85

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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.