Home / 2,214.42-3,322.80-982.68

Finding the Fourth Proportional to 2,214.42, 3,322.80 and 982.68

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Solution

The fourth proportional to 2,214.42, 3,322.80 and 982.68 is: 1,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.42 : 3,322.80 = 982.68 : x
  2. Step 2: Convert to fraction form
    2,214.42/3,322.80 = 982.68/x
  3. Step 3: Cross multiply
    2,214.42x = 3,322.80 × 982.68
  4. Step 4: Simplify right side
    2,214.42x = 3,265,249.10
  5. Step 5: Solve for x
    x = 3,265,249.10/2,214.42
  6. Step 6: Final answer
    x = 1,474.54

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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.