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Finding the Fourth Proportional to 5,197, 7,171.86 and 2,839.15

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Solution

The fourth proportional to 5,197, 7,171.86 and 2,839.15 is: 3,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,171.86 = 2,839.15 : x
  2. Step 2: Convert to fraction form
    5,197/7,171.86 = 2,839.15/x
  3. Step 3: Cross multiply
    5,197x = 7,171.86 × 2,839.15
  4. Step 4: Simplify right side
    5,197x = 20,361,986.32
  5. Step 5: Solve for x
    x = 20,361,986.32/5,197
  6. Step 6: Final answer
    x = 3,918.03

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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.