Home / 3,454-4,766.67-1,961.92

Finding the Fourth Proportional to 3,454, 4,766.67 and 1,961.92

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Solution

The fourth proportional to 3,454, 4,766.67 and 1,961.92 is: 2,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 4,766.67 = 1,961.92 : x
  2. Step 2: Convert to fraction form
    3,454/4,766.67 = 1,961.92/x
  3. Step 3: Cross multiply
    3,454x = 4,766.67 × 1,961.92
  4. Step 4: Simplify right side
    3,454x = 9,351,825.21
  5. Step 5: Solve for x
    x = 9,351,825.21/3,454
  6. Step 6: Final answer
    x = 2,707.53

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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.