Home / 3,414-4,711.04-1,921.44

Finding the Fourth Proportional to 3,414, 4,711.04 and 1,921.44

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Solution

The fourth proportional to 3,414, 4,711.04 and 1,921.44 is: 2,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 4,711.04 = 1,921.44 : x
  2. Step 2: Convert to fraction form
    3,414/4,711.04 = 1,921.44/x
  3. Step 3: Cross multiply
    3,414x = 4,711.04 × 1,921.44
  4. Step 4: Simplify right side
    3,414x = 9,051,980.70
  5. Step 5: Solve for x
    x = 9,051,980.70/3,414
  6. Step 6: Final answer
    x = 2,651.43

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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.