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Finding the Fourth Proportional to 3,969.90, 5,968.35 and 3,244.74

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Solution

The fourth proportional to 3,969.90, 5,968.35 and 3,244.74 is: 4,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.90 : 5,968.35 = 3,244.74 : x
  2. Step 2: Convert to fraction form
    3,969.90/5,968.35 = 3,244.74/x
  3. Step 3: Cross multiply
    3,969.90x = 5,968.35 × 3,244.74
  4. Step 4: Simplify right side
    3,969.90x = 19,365,743.98
  5. Step 5: Solve for x
    x = 19,365,743.98/3,969.90
  6. Step 6: Final answer
    x = 4,878.14

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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.