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Finding the Fourth Proportional to 5,197.16, 7,171.98 and 2,839.22

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Solution

The fourth proportional to 5,197.16, 7,171.98 and 2,839.22 is: 3,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.16 : 7,171.98 = 2,839.22 : x
  2. Step 2: Convert to fraction form
    5,197.16/7,171.98 = 2,839.22/x
  3. Step 3: Cross multiply
    5,197.16x = 7,171.98 × 2,839.22
  4. Step 4: Simplify right side
    5,197.16x = 20,362,829.06
  5. Step 5: Solve for x
    x = 20,362,829.06/5,197.16
  6. Step 6: Final answer
    x = 3,918.07

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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.