Home / 2,214.12-3,322.47-828.41

Finding the Fourth Proportional to 2,214.12, 3,322.47 and 828.41

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Solution

The fourth proportional to 2,214.12, 3,322.47 and 828.41 is: 1,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.12 : 3,322.47 = 828.41 : x
  2. Step 2: Convert to fraction form
    2,214.12/3,322.47 = 828.41/x
  3. Step 3: Cross multiply
    2,214.12x = 3,322.47 × 828.41
  4. Step 4: Simplify right side
    2,214.12x = 2,752,367.37
  5. Step 5: Solve for x
    x = 2,752,367.37/2,214.12
  6. Step 6: Final answer
    x = 1,243.10

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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.