Home / 2,284.16-3,424.18-822.28

Finding the Fourth Proportional to 2,284.16, 3,424.18 and 822.28

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Solution

The fourth proportional to 2,284.16, 3,424.18 and 822.28 is: 1,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,424.18 = 822.28 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,424.18 = 822.28/x
  3. Step 3: Cross multiply
    2,284.16x = 3,424.18 × 822.28
  4. Step 4: Simplify right side
    2,284.16x = 2,815,636.95
  5. Step 5: Solve for x
    x = 2,815,636.95/2,284.16
  6. Step 6: Final answer
    x = 1,232.68

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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.