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Finding the Fourth Proportional to 2,107.71, 2,908.05 and 1,361.70

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Solution

The fourth proportional to 2,107.71, 2,908.05 and 1,361.70 is: 1,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.71 : 2,908.05 = 1,361.70 : x
  2. Step 2: Convert to fraction form
    2,107.71/2,908.05 = 1,361.70/x
  3. Step 3: Cross multiply
    2,107.71x = 2,908.05 × 1,361.70
  4. Step 4: Simplify right side
    2,107.71x = 3,959,891.69
  5. Step 5: Solve for x
    x = 3,959,891.69/2,107.71
  6. Step 6: Final answer
    x = 1,878.76

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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.