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Finding the Fourth Proportional to 2,594.75, 3,888.78 and 949.33

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Solution

The fourth proportional to 2,594.75, 3,888.78 and 949.33 is: 1,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.75 : 3,888.78 = 949.33 : x
  2. Step 2: Convert to fraction form
    2,594.75/3,888.78 = 949.33/x
  3. Step 3: Cross multiply
    2,594.75x = 3,888.78 × 949.33
  4. Step 4: Simplify right side
    2,594.75x = 3,691,736.82
  5. Step 5: Solve for x
    x = 3,691,736.82/2,594.75
  6. Step 6: Final answer
    x = 1,422.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.