Home / 1,336.22-2,003.24-822.14

Finding the Fourth Proportional to 1,336.22, 2,003.24 and 822.14

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Solution

The fourth proportional to 1,336.22, 2,003.24 and 822.14 is: 1,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.22 : 2,003.24 = 822.14 : x
  2. Step 2: Convert to fraction form
    1,336.22/2,003.24 = 822.14/x
  3. Step 3: Cross multiply
    1,336.22x = 2,003.24 × 822.14
  4. Step 4: Simplify right side
    1,336.22x = 1,646,929.61
  5. Step 5: Solve for x
    x = 1,646,929.61/1,336.22
  6. Step 6: Final answer
    x = 1,232.53

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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.