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Finding the Fourth Proportional to 2,786.31, 4,179.47 and 839.88

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Solution

The fourth proportional to 2,786.31, 4,179.47 and 839.88 is: 1,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.31 : 4,179.47 = 839.88 : x
  2. Step 2: Convert to fraction form
    2,786.31/4,179.47 = 839.88/x
  3. Step 3: Cross multiply
    2,786.31x = 4,179.47 × 839.88
  4. Step 4: Simplify right side
    2,786.31x = 3,510,249.06
  5. Step 5: Solve for x
    x = 3,510,249.06/2,786.31
  6. Step 6: Final answer
    x = 1,259.82

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1.5x scale

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.