Home / 3,022.16-4,532.49-830.78

Finding the Fourth Proportional to 3,022.16, 4,532.49 and 830.78

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Solution

The fourth proportional to 3,022.16, 4,532.49 and 830.78 is: 1,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.16 : 4,532.49 = 830.78 : x
  2. Step 2: Convert to fraction form
    3,022.16/4,532.49 = 830.78/x
  3. Step 3: Cross multiply
    3,022.16x = 4,532.49 × 830.78
  4. Step 4: Simplify right side
    3,022.16x = 3,765,502.04
  5. Step 5: Solve for x
    x = 3,765,502.04/3,022.16
  6. Step 6: Final answer
    x = 1,245.96

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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.