Home / 2,284.40-3,426.24-822.80

Finding the Fourth Proportional to 2,284.40, 3,426.24 and 822.80

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Solution

The fourth proportional to 2,284.40, 3,426.24 and 822.80 is: 1,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.40 : 3,426.24 = 822.80 : x
  2. Step 2: Convert to fraction form
    2,284.40/3,426.24 = 822.80/x
  3. Step 3: Cross multiply
    2,284.40x = 3,426.24 × 822.80
  4. Step 4: Simplify right side
    2,284.40x = 2,819,110.27
  5. Step 5: Solve for x
    x = 2,819,110.27/2,284.40
  6. Step 6: Final answer
    x = 1,234.07

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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.