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Finding the Fourth Proportional to 3,041.75, 4,197.62 and 1,644.50

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Solution

The fourth proportional to 3,041.75, 4,197.62 and 1,644.50 is: 2,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.75 : 4,197.62 = 1,644.50 : x
  2. Step 2: Convert to fraction form
    3,041.75/4,197.62 = 1,644.50/x
  3. Step 3: Cross multiply
    3,041.75x = 4,197.62 × 1,644.50
  4. Step 4: Simplify right side
    3,041.75x = 6,902,986.09
  5. Step 5: Solve for x
    x = 6,902,986.09/3,041.75
  6. Step 6: Final answer
    x = 2,269.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.