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Finding the Fourth Proportional to 2,876, 3,970.74 and 2,245.44

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Solution

The fourth proportional to 2,876, 3,970.74 and 2,245.44 is: 3,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 3,970.74 = 2,245.44 : x
  2. Step 2: Convert to fraction form
    2,876/3,970.74 = 2,245.44/x
  3. Step 3: Cross multiply
    2,876x = 3,970.74 × 2,245.44
  4. Step 4: Simplify right side
    2,876x = 8,916,058.43
  5. Step 5: Solve for x
    x = 8,916,058.43/2,876
  6. Step 6: Final answer
    x = 3,100.16

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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.