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Finding the Fourth Proportional to 3,685.70, 5,531.31 and 1,739.27

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Solution

The fourth proportional to 3,685.70, 5,531.31 and 1,739.27 is: 2,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.70 : 5,531.31 = 1,739.27 : x
  2. Step 2: Convert to fraction form
    3,685.70/5,531.31 = 1,739.27/x
  3. Step 3: Cross multiply
    3,685.70x = 5,531.31 × 1,739.27
  4. Step 4: Simplify right side
    3,685.70x = 9,620,441.54
  5. Step 5: Solve for x
    x = 9,620,441.54/3,685.70
  6. Step 6: Final answer
    x = 2,610.21

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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.