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Finding the Fourth Proportional to 3,278, 4,523.64 and 2,036

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Solution

The fourth proportional to 3,278, 4,523.64 and 2,036 is: 2,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278 : 4,523.64 = 2,036 : x
  2. Step 2: Convert to fraction form
    3,278/4,523.64 = 2,036/x
  3. Step 3: Cross multiply
    3,278x = 4,523.64 × 2,036
  4. Step 4: Simplify right side
    3,278x = 9,210,131.04
  5. Step 5: Solve for x
    x = 9,210,131.04/3,278
  6. Step 6: Final answer
    x = 2,809.68

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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.