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Finding the Fourth Proportional to 2,876.50, 3,971.44 and 2,245.94

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Solution

The fourth proportional to 2,876.50, 3,971.44 and 2,245.94 is: 3,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.50 : 3,971.44 = 2,245.94 : x
  2. Step 2: Convert to fraction form
    2,876.50/3,971.44 = 2,245.94/x
  3. Step 3: Cross multiply
    2,876.50x = 3,971.44 × 2,245.94
  4. Step 4: Simplify right side
    2,876.50x = 8,919,615.95
  5. Step 5: Solve for x
    x = 8,919,615.95/2,876.50
  6. Step 6: Final answer
    x = 3,100.86

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1.5x scale

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.