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Finding the Fourth Proportional to 2,745.52, 3,785.80 and 1,749.68

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Solution

The fourth proportional to 2,745.52, 3,785.80 and 1,749.68 is: 2,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.52 : 3,785.80 = 1,749.68 : x
  2. Step 2: Convert to fraction form
    2,745.52/3,785.80 = 1,749.68/x
  3. Step 3: Cross multiply
    2,745.52x = 3,785.80 × 1,749.68
  4. Step 4: Simplify right side
    2,745.52x = 6,623,938.54
  5. Step 5: Solve for x
    x = 6,623,938.54/2,745.52
  6. Step 6: Final answer
    x = 2,412.64

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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.