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Finding the Fourth Proportional to 2,894.74, 3,991.98 and 2,103.27

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Solution

The fourth proportional to 2,894.74, 3,991.98 and 2,103.27 is: 2,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.74 : 3,991.98 = 2,103.27 : x
  2. Step 2: Convert to fraction form
    2,894.74/3,991.98 = 2,103.27/x
  3. Step 3: Cross multiply
    2,894.74x = 3,991.98 × 2,103.27
  4. Step 4: Simplify right side
    2,894.74x = 8,396,204.69
  5. Step 5: Solve for x
    x = 8,396,204.69/2,894.74
  6. Step 6: Final answer
    x = 2,900.51

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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.