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Finding the Fourth Proportional to 13,960, 20,940 and 3,571.75

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Solution

The fourth proportional to 13,960, 20,940 and 3,571.75 is: 5,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960 : 20,940 = 3,571.75 : x
  2. Step 2: Convert to fraction form
    13,960/20,940 = 3,571.75/x
  3. Step 3: Cross multiply
    13,960x = 20,940 × 3,571.75
  4. Step 4: Simplify right side
    13,960x = 74,792,445
  5. Step 5: Solve for x
    x = 74,792,445/13,960
  6. Step 6: Final answer
    x = 5,357.63

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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.