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Finding the Fourth Proportional to 2,836.94, 4,255.06 and 757.10

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Solution

The fourth proportional to 2,836.94, 4,255.06 and 757.10 is: 1,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.94 : 4,255.06 = 757.10 : x
  2. Step 2: Convert to fraction form
    2,836.94/4,255.06 = 757.10/x
  3. Step 3: Cross multiply
    2,836.94x = 4,255.06 × 757.10
  4. Step 4: Simplify right side
    2,836.94x = 3,221,505.93
  5. Step 5: Solve for x
    x = 3,221,505.93/2,836.94
  6. Step 6: Final answer
    x = 1,135.56

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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.