Home / 2,284.35-3,424.46-822.47

Finding the Fourth Proportional to 2,284.35, 3,424.46 and 822.47

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Solution

The fourth proportional to 2,284.35, 3,424.46 and 822.47 is: 1,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.35 : 3,424.46 = 822.47 : x
  2. Step 2: Convert to fraction form
    2,284.35/3,424.46 = 822.47/x
  3. Step 3: Cross multiply
    2,284.35x = 3,424.46 × 822.47
  4. Step 4: Simplify right side
    2,284.35x = 2,816,494.38
  5. Step 5: Solve for x
    x = 2,816,494.38/2,284.35
  6. Step 6: Final answer
    x = 1,232.95

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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.