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Finding the Fourth Proportional to 3,186.63, 4,396.97 and 1,927.51

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Solution

The fourth proportional to 3,186.63, 4,396.97 and 1,927.51 is: 2,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.63 : 4,396.97 = 1,927.51 : x
  2. Step 2: Convert to fraction form
    3,186.63/4,396.97 = 1,927.51/x
  3. Step 3: Cross multiply
    3,186.63x = 4,396.97 × 1,927.51
  4. Step 4: Simplify right side
    3,186.63x = 8,475,183.01
  5. Step 5: Solve for x
    x = 8,475,183.01/3,186.63
  6. Step 6: Final answer
    x = 2,659.61

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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.