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Finding the Fourth Proportional to 2,678.37, 3,694.51 and 1,769.88

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Solution

The fourth proportional to 2,678.37, 3,694.51 and 1,769.88 is: 2,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.37 : 3,694.51 = 1,769.88 : x
  2. Step 2: Convert to fraction form
    2,678.37/3,694.51 = 1,769.88/x
  3. Step 3: Cross multiply
    2,678.37x = 3,694.51 × 1,769.88
  4. Step 4: Simplify right side
    2,678.37x = 6,538,824.25
  5. Step 5: Solve for x
    x = 6,538,824.25/2,678.37
  6. Step 6: Final answer
    x = 2,441.35

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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.