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Finding the Fourth Proportional to 2,801.75, 4,202.63 and 749.75

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Solution

The fourth proportional to 2,801.75, 4,202.63 and 749.75 is: 1,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.75 : 4,202.63 = 749.75 : x
  2. Step 2: Convert to fraction form
    2,801.75/4,202.63 = 749.75/x
  3. Step 3: Cross multiply
    2,801.75x = 4,202.63 × 749.75
  4. Step 4: Simplify right side
    2,801.75x = 3,150,921.84
  5. Step 5: Solve for x
    x = 3,150,921.84/2,801.75
  6. Step 6: Final answer
    x = 1,124.63

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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.