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Finding the Fourth Proportional to 6,151.77, 9,229.11 and 1,991.78

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Solution

The fourth proportional to 6,151.77, 9,229.11 and 1,991.78 is: 2,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.77 : 9,229.11 = 1,991.78 : x
  2. Step 2: Convert to fraction form
    6,151.77/9,229.11 = 1,991.78/x
  3. Step 3: Cross multiply
    6,151.77x = 9,229.11 × 1,991.78
  4. Step 4: Simplify right side
    6,151.77x = 18,382,318.04
  5. Step 5: Solve for x
    x = 18,382,318.04/6,151.77
  6. Step 6: Final answer
    x = 2,988.14

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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.