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Finding the Fourth Proportional to 2,992.78, 4,489.41 and 801.49

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Solution

The fourth proportional to 2,992.78, 4,489.41 and 801.49 is: 1,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.78 : 4,489.41 = 801.49 : x
  2. Step 2: Convert to fraction form
    2,992.78/4,489.41 = 801.49/x
  3. Step 3: Cross multiply
    2,992.78x = 4,489.41 × 801.49
  4. Step 4: Simplify right side
    2,992.78x = 3,598,217.22
  5. Step 5: Solve for x
    x = 3,598,217.22/2,992.78
  6. Step 6: Final answer
    x = 1,202.30

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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.