Home / 1,602.97-2,211.45-982.33

Finding the Fourth Proportional to 1,602.97, 2,211.45 and 982.33

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Solution

The fourth proportional to 1,602.97, 2,211.45 and 982.33 is: 1,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.97 : 2,211.45 = 982.33 : x
  2. Step 2: Convert to fraction form
    1,602.97/2,211.45 = 982.33/x
  3. Step 3: Cross multiply
    1,602.97x = 2,211.45 × 982.33
  4. Step 4: Simplify right side
    1,602.97x = 2,172,373.68
  5. Step 5: Solve for x
    x = 2,172,373.68/1,602.97
  6. Step 6: Final answer
    x = 1,355.22

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1.5x scale

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.