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Finding the Fourth Proportional to 2,682.84, 3,694.67 and 2,415

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Solution

The fourth proportional to 2,682.84, 3,694.67 and 2,415 is: 3,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.84 : 3,694.67 = 2,415 : x
  2. Step 2: Convert to fraction form
    2,682.84/3,694.67 = 2,415/x
  3. Step 3: Cross multiply
    2,682.84x = 3,694.67 × 2,415
  4. Step 4: Simplify right side
    2,682.84x = 8,922,628.05
  5. Step 5: Solve for x
    x = 8,922,628.05/2,682.84
  6. Step 6: Final answer
    x = 3,325.81

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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.