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Finding the Fourth Proportional to 5,137.89, 7,706.84 and 3,969.60

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Solution

The fourth proportional to 5,137.89, 7,706.84 and 3,969.60 is: 5,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.89 : 7,706.84 = 3,969.60 : x
  2. Step 2: Convert to fraction form
    5,137.89/7,706.84 = 3,969.60/x
  3. Step 3: Cross multiply
    5,137.89x = 7,706.84 × 3,969.60
  4. Step 4: Simplify right side
    5,137.89x = 30,593,072.06
  5. Step 5: Solve for x
    x = 30,593,072.06/5,137.89
  6. Step 6: Final answer
    x = 5,954.40

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1.5x scale

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.