Home / 2,281.07-3,422.82-982.46

Finding the Fourth Proportional to 2,281.07, 3,422.82 and 982.46

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Solution

The fourth proportional to 2,281.07, 3,422.82 and 982.46 is: 1,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.07 : 3,422.82 = 982.46 : x
  2. Step 2: Convert to fraction form
    2,281.07/3,422.82 = 982.46/x
  3. Step 3: Cross multiply
    2,281.07x = 3,422.82 × 982.46
  4. Step 4: Simplify right side
    2,281.07x = 3,362,783.74
  5. Step 5: Solve for x
    x = 3,362,783.74/2,281.07
  6. Step 6: Final answer
    x = 1,474.21

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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.