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Finding the Fourth Proportional to 2,511.82, 3,767.94 and 845.88

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Solution

The fourth proportional to 2,511.82, 3,767.94 and 845.88 is: 1,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.82 : 3,767.94 = 845.88 : x
  2. Step 2: Convert to fraction form
    2,511.82/3,767.94 = 845.88/x
  3. Step 3: Cross multiply
    2,511.82x = 3,767.94 × 845.88
  4. Step 4: Simplify right side
    2,511.82x = 3,187,225.09
  5. Step 5: Solve for x
    x = 3,187,225.09/2,511.82
  6. Step 6: Final answer
    x = 1,268.89

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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.