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Finding the Fourth Proportional to 2,749.78, 3,794.71 and 1,490.84

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Solution

The fourth proportional to 2,749.78, 3,794.71 and 1,490.84 is: 2,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.78 : 3,794.71 = 1,490.84 : x
  2. Step 2: Convert to fraction form
    2,749.78/3,794.71 = 1,490.84/x
  3. Step 3: Cross multiply
    2,749.78x = 3,794.71 × 1,490.84
  4. Step 4: Simplify right side
    2,749.78x = 5,657,302.58
  5. Step 5: Solve for x
    x = 5,657,302.58/2,749.78
  6. Step 6: Final answer
    x = 2,057.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.