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Finding the Fourth Proportional to 5,197.28, 7,172.16 and 2,839.28

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Solution

The fourth proportional to 5,197.28, 7,172.16 and 2,839.28 is: 3,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.28 : 7,172.16 = 2,839.28 : x
  2. Step 2: Convert to fraction form
    5,197.28/7,172.16 = 2,839.28/x
  3. Step 3: Cross multiply
    5,197.28x = 7,172.16 × 2,839.28
  4. Step 4: Simplify right side
    5,197.28x = 20,363,770.44
  5. Step 5: Solve for x
    x = 20,363,770.44/5,197.28
  6. Step 6: Final answer
    x = 3,918.16

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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.