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Finding the Fourth Proportional to 3,930.39, 5,894.33 and 1,739.07

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Solution

The fourth proportional to 3,930.39, 5,894.33 and 1,739.07 is: 2,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.39 : 5,894.33 = 1,739.07 : x
  2. Step 2: Convert to fraction form
    3,930.39/5,894.33 = 1,739.07/x
  3. Step 3: Cross multiply
    3,930.39x = 5,894.33 × 1,739.07
  4. Step 4: Simplify right side
    3,930.39x = 10,250,643.78
  5. Step 5: Solve for x
    x = 10,250,643.78/3,930.39
  6. Step 6: Final answer
    x = 2,608.05

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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.