Home / 2,502.97-3,450.11-1,971

Finding the Fourth Proportional to 2,502.97, 3,450.11 and 1,971

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Solution

The fourth proportional to 2,502.97, 3,450.11 and 1,971 is: 2,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.97 : 3,450.11 = 1,971 : x
  2. Step 2: Convert to fraction form
    2,502.97/3,450.11 = 1,971/x
  3. Step 3: Cross multiply
    2,502.97x = 3,450.11 × 1,971
  4. Step 4: Simplify right side
    2,502.97x = 6,800,166.81
  5. Step 5: Solve for x
    x = 6,800,166.81/2,502.97
  6. Step 6: Final answer
    x = 2,716.84

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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.