Home / 3,022.02-4,533.21-830.70

Finding the Fourth Proportional to 3,022.02, 4,533.21 and 830.70

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Solution

The fourth proportional to 3,022.02, 4,533.21 and 830.70 is: 1,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.02 : 4,533.21 = 830.70 : x
  2. Step 2: Convert to fraction form
    3,022.02/4,533.21 = 830.70/x
  3. Step 3: Cross multiply
    3,022.02x = 4,533.21 × 830.70
  4. Step 4: Simplify right side
    3,022.02x = 3,765,737.55
  5. Step 5: Solve for x
    x = 3,765,737.55/3,022.02
  6. Step 6: Final answer
    x = 1,246.10

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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.