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Finding the Fourth Proportional to 2,894.14, 3,993.33 and 1,948.87

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Solution

The fourth proportional to 2,894.14, 3,993.33 and 1,948.87 is: 2,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.14 : 3,993.33 = 1,948.87 : x
  2. Step 2: Convert to fraction form
    2,894.14/3,993.33 = 1,948.87/x
  3. Step 3: Cross multiply
    2,894.14x = 3,993.33 × 1,948.87
  4. Step 4: Simplify right side
    2,894.14x = 7,782,481.04
  5. Step 5: Solve for x
    x = 7,782,481.04/2,894.14
  6. Step 6: Final answer
    x = 2,689.05

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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.