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Finding the Fourth Proportional to 3,842.88, 5,758.56 and 2,749.56

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Solution

The fourth proportional to 3,842.88, 5,758.56 and 2,749.56 is: 4,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.88 : 5,758.56 = 2,749.56 : x
  2. Step 2: Convert to fraction form
    3,842.88/5,758.56 = 2,749.56/x
  3. Step 3: Cross multiply
    3,842.88x = 5,758.56 × 2,749.56
  4. Step 4: Simplify right side
    3,842.88x = 15,833,506.23
  5. Step 5: Solve for x
    x = 15,833,506.23/3,842.88
  6. Step 6: Final answer
    x = 4,120.22

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Why These Related Problems?

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