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Finding the Fourth Proportional to 5,197.54, 7,172.76 and 2,839.72

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Solution

The fourth proportional to 5,197.54, 7,172.76 and 2,839.72 is: 3,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.54 : 7,172.76 = 2,839.72 : x
  2. Step 2: Convert to fraction form
    5,197.54/7,172.76 = 2,839.72/x
  3. Step 3: Cross multiply
    5,197.54x = 7,172.76 × 2,839.72
  4. Step 4: Simplify right side
    5,197.54x = 20,368,630.03
  5. Step 5: Solve for x
    x = 20,368,630.03/5,197.54
  6. Step 6: Final answer
    x = 3,918.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.