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Finding the Fourth Proportional to 2,801.91, 4,202.55 and 749.75

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Solution

The fourth proportional to 2,801.91, 4,202.55 and 749.75 is: 1,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.91 : 4,202.55 = 749.75 : x
  2. Step 2: Convert to fraction form
    2,801.91/4,202.55 = 749.75/x
  3. Step 3: Cross multiply
    2,801.91x = 4,202.55 × 749.75
  4. Step 4: Simplify right side
    2,801.91x = 3,150,858.11
  5. Step 5: Solve for x
    x = 3,150,858.11/2,801.91
  6. Step 6: Final answer
    x = 1,124.54

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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.