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Finding the Fourth Proportional to 6,151.81, 9,229.18 and 1,991.82

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Solution

The fourth proportional to 6,151.81, 9,229.18 and 1,991.82 is: 2,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.81 : 9,229.18 = 1,991.82 : x
  2. Step 2: Convert to fraction form
    6,151.81/9,229.18 = 1,991.82/x
  3. Step 3: Cross multiply
    6,151.81x = 9,229.18 × 1,991.82
  4. Step 4: Simplify right side
    6,151.81x = 18,382,867.80
  5. Step 5: Solve for x
    x = 18,382,867.80/6,151.81
  6. Step 6: Final answer
    x = 2,988.21

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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.