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Finding the Fourth Proportional to 4,879.75, 6,734.05 and 2,641.63

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Solution

The fourth proportional to 4,879.75, 6,734.05 and 2,641.63 is: 3,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.75 : 6,734.05 = 2,641.63 : x
  2. Step 2: Convert to fraction form
    4,879.75/6,734.05 = 2,641.63/x
  3. Step 3: Cross multiply
    4,879.75x = 6,734.05 × 2,641.63
  4. Step 4: Simplify right side
    4,879.75x = 17,788,861.28
  5. Step 5: Solve for x
    x = 17,788,861.28/4,879.75
  6. Step 6: Final answer
    x = 3,645.44

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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.