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Finding the Fourth Proportional to 3,664.62, 5,051.26 and 2,866.56

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Solution

The fourth proportional to 3,664.62, 5,051.26 and 2,866.56 is: 3,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.62 : 5,051.26 = 2,866.56 : x
  2. Step 2: Convert to fraction form
    3,664.62/5,051.26 = 2,866.56/x
  3. Step 3: Cross multiply
    3,664.62x = 5,051.26 × 2,866.56
  4. Step 4: Simplify right side
    3,664.62x = 14,479,739.87
  5. Step 5: Solve for x
    x = 14,479,739.87/3,664.62
  6. Step 6: Final answer
    x = 3,951.23

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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.