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Finding the Fourth Proportional to 3,076.44, 4,615.34 and 885

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Solution

The fourth proportional to 3,076.44, 4,615.34 and 885 is: 1,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.44 : 4,615.34 = 885 : x
  2. Step 2: Convert to fraction form
    3,076.44/4,615.34 = 885/x
  3. Step 3: Cross multiply
    3,076.44x = 4,615.34 × 885
  4. Step 4: Simplify right side
    3,076.44x = 4,084,575.90
  5. Step 5: Solve for x
    x = 4,084,575.90/3,076.44
  6. Step 6: Final answer
    x = 1,327.70

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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.