Home / 1,611.97-2,224.86-982.70

Finding the Fourth Proportional to 1,611.97, 2,224.86 and 982.70

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Solution

The fourth proportional to 1,611.97, 2,224.86 and 982.70 is: 1,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.97 : 2,224.86 = 982.70 : x
  2. Step 2: Convert to fraction form
    1,611.97/2,224.86 = 982.70/x
  3. Step 3: Cross multiply
    1,611.97x = 2,224.86 × 982.70
  4. Step 4: Simplify right side
    1,611.97x = 2,186,369.92
  5. Step 5: Solve for x
    x = 2,186,369.92/1,611.97
  6. Step 6: Final answer
    x = 1,356.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.