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Finding the Fourth Proportional to 3,159, 4,735.96 and 2,049.56

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Solution

The fourth proportional to 3,159, 4,735.96 and 2,049.56 is: 3,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159 : 4,735.96 = 2,049.56 : x
  2. Step 2: Convert to fraction form
    3,159/4,735.96 = 2,049.56/x
  3. Step 3: Cross multiply
    3,159x = 4,735.96 × 2,049.56
  4. Step 4: Simplify right side
    3,159x = 9,706,634.18
  5. Step 5: Solve for x
    x = 9,706,634.18/3,159
  6. Step 6: Final answer
    x = 3,072.69

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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.