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Finding the Fourth Proportional to 3,956.36, 5,934.36 and 2,309.60

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Solution

The fourth proportional to 3,956.36, 5,934.36 and 2,309.60 is: 3,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.36 : 5,934.36 = 2,309.60 : x
  2. Step 2: Convert to fraction form
    3,956.36/5,934.36 = 2,309.60/x
  3. Step 3: Cross multiply
    3,956.36x = 5,934.36 × 2,309.60
  4. Step 4: Simplify right side
    3,956.36x = 13,705,997.86
  5. Step 5: Solve for x
    x = 13,705,997.86/3,956.36
  6. Step 6: Final answer
    x = 3,464.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.