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Finding the Fourth Proportional to 2,754.09, 4,131.44 and 806.45

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Solution

The fourth proportional to 2,754.09, 4,131.44 and 806.45 is: 1,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.09 : 4,131.44 = 806.45 : x
  2. Step 2: Convert to fraction form
    2,754.09/4,131.44 = 806.45/x
  3. Step 3: Cross multiply
    2,754.09x = 4,131.44 × 806.45
  4. Step 4: Simplify right side
    2,754.09x = 3,331,775.10
  5. Step 5: Solve for x
    x = 3,331,775.10/2,754.09
  6. Step 6: Final answer
    x = 1,209.76

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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.