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Finding the Fourth Proportional to 2,786.26, 3,845.02 and 1,607.30

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Solution

The fourth proportional to 2,786.26, 3,845.02 and 1,607.30 is: 2,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.26 : 3,845.02 = 1,607.30 : x
  2. Step 2: Convert to fraction form
    2,786.26/3,845.02 = 1,607.30/x
  3. Step 3: Cross multiply
    2,786.26x = 3,845.02 × 1,607.30
  4. Step 4: Simplify right side
    2,786.26x = 6,180,100.65
  5. Step 5: Solve for x
    x = 6,180,100.65/2,786.26
  6. Step 6: Final answer
    x = 2,218.06

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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.