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Finding the Fourth Proportional to 2,786.97, 3,845.97 and 1,528.05

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Solution

The fourth proportional to 2,786.97, 3,845.97 and 1,528.05 is: 2,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.97 : 3,845.97 = 1,528.05 : x
  2. Step 2: Convert to fraction form
    2,786.97/3,845.97 = 1,528.05/x
  3. Step 3: Cross multiply
    2,786.97x = 3,845.97 × 1,528.05
  4. Step 4: Simplify right side
    2,786.97x = 5,876,834.46
  5. Step 5: Solve for x
    x = 5,876,834.46/2,786.97
  6. Step 6: Final answer
    x = 2,108.68

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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.