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Finding the Fourth Proportional to 5,612.39, 8,411.75 and 3,969.41

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Solution

The fourth proportional to 5,612.39, 8,411.75 and 3,969.41 is: 5,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.39 : 8,411.75 = 3,969.41 : x
  2. Step 2: Convert to fraction form
    5,612.39/8,411.75 = 3,969.41/x
  3. Step 3: Cross multiply
    5,612.39x = 8,411.75 × 3,969.41
  4. Step 4: Simplify right side
    5,612.39x = 33,389,637.55
  5. Step 5: Solve for x
    x = 33,389,637.55/5,612.39
  6. Step 6: Final answer
    x = 5,949.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.