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Finding the Fourth Proportional to 6,131.99, 9,197.81 and 1,971.97

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Solution

The fourth proportional to 6,131.99, 9,197.81 and 1,971.97 is: 2,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.99 : 9,197.81 = 1,971.97 : x
  2. Step 2: Convert to fraction form
    6,131.99/9,197.81 = 1,971.97/x
  3. Step 3: Cross multiply
    6,131.99x = 9,197.81 × 1,971.97
  4. Step 4: Simplify right side
    6,131.99x = 18,137,805.39
  5. Step 5: Solve for x
    x = 18,137,805.39/6,131.99
  6. Step 6: Final answer
    x = 2,957.90

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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.