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Finding the Fourth Proportional to 3,414, 4,709.78 and 2,087.46

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Solution

The fourth proportional to 3,414, 4,709.78 and 2,087.46 is: 2,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 4,709.78 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    3,414/4,709.78 = 2,087.46/x
  3. Step 3: Cross multiply
    3,414x = 4,709.78 × 2,087.46
  4. Step 4: Simplify right side
    3,414x = 9,831,466.92
  5. Step 5: Solve for x
    x = 9,831,466.92/3,414
  6. Step 6: Final answer
    x = 2,879.75

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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.