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Finding the Fourth Proportional to 2,786.58, 4,171.23 and 1,634.58

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Solution

The fourth proportional to 2,786.58, 4,171.23 and 1,634.58 is: 2,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.58 : 4,171.23 = 1,634.58 : x
  2. Step 2: Convert to fraction form
    2,786.58/4,171.23 = 1,634.58/x
  3. Step 3: Cross multiply
    2,786.58x = 4,171.23 × 1,634.58
  4. Step 4: Simplify right side
    2,786.58x = 6,818,209.13
  5. Step 5: Solve for x
    x = 6,818,209.13/2,786.58
  6. Step 6: Final answer
    x = 2,446.80

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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.