Home / 3,820-5,268.64-2,327.36

Finding the Fourth Proportional to 3,820, 5,268.64 and 2,327.36

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Solution

The fourth proportional to 3,820, 5,268.64 and 2,327.36 is: 3,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820 : 5,268.64 = 2,327.36 : x
  2. Step 2: Convert to fraction form
    3,820/5,268.64 = 2,327.36/x
  3. Step 3: Cross multiply
    3,820x = 5,268.64 × 2,327.36
  4. Step 4: Simplify right side
    3,820x = 12,262,021.99
  5. Step 5: Solve for x
    x = 12,262,021.99/3,820
  6. Step 6: Final answer
    x = 3,209.95

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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.