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Finding the Fourth Proportional to 3,817.64, 5,727.14 and 1,968.25

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Solution

The fourth proportional to 3,817.64, 5,727.14 and 1,968.25 is: 2,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.64 : 5,727.14 = 1,968.25 : x
  2. Step 2: Convert to fraction form
    3,817.64/5,727.14 = 1,968.25/x
  3. Step 3: Cross multiply
    3,817.64x = 5,727.14 × 1,968.25
  4. Step 4: Simplify right side
    3,817.64x = 11,272,443.31
  5. Step 5: Solve for x
    x = 11,272,443.31/3,817.64
  6. Step 6: Final answer
    x = 2,952.73

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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.