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Finding the Fourth Proportional to 3,259, 4,481.94 and 2,587.96

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Solution

The fourth proportional to 3,259, 4,481.94 and 2,587.96 is: 3,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259 : 4,481.94 = 2,587.96 : x
  2. Step 2: Convert to fraction form
    3,259/4,481.94 = 2,587.96/x
  3. Step 3: Cross multiply
    3,259x = 4,481.94 × 2,587.96
  4. Step 4: Simplify right side
    3,259x = 11,599,081.44
  5. Step 5: Solve for x
    x = 11,599,081.44/3,259
  6. Step 6: Final answer
    x = 3,559.09

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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.