Home / 2,205.41-3,308.99-971.97

Finding the Fourth Proportional to 2,205.41, 3,308.99 and 971.97

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Solution

The fourth proportional to 2,205.41, 3,308.99 and 971.97 is: 1,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.41 : 3,308.99 = 971.97 : x
  2. Step 2: Convert to fraction form
    2,205.41/3,308.99 = 971.97/x
  3. Step 3: Cross multiply
    2,205.41x = 3,308.99 × 971.97
  4. Step 4: Simplify right side
    2,205.41x = 3,216,221.74
  5. Step 5: Solve for x
    x = 3,216,221.74/2,205.41
  6. Step 6: Final answer
    x = 1,458.33

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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.