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Finding the Fourth Proportional to 3,930.98, 5,896.47 and 1,739.18

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Solution

The fourth proportional to 3,930.98, 5,896.47 and 1,739.18 is: 2,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.98 : 5,896.47 = 1,739.18 : x
  2. Step 2: Convert to fraction form
    3,930.98/5,896.47 = 1,739.18/x
  3. Step 3: Cross multiply
    3,930.98x = 5,896.47 × 1,739.18
  4. Step 4: Simplify right side
    3,930.98x = 10,255,022.69
  5. Step 5: Solve for x
    x = 10,255,022.69/3,930.98
  6. Step 6: Final answer
    x = 2,608.77

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1.5x scale

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.