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Finding the Fourth Proportional to 3,076.80, 4,615.32 and 885.48

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Solution

The fourth proportional to 3,076.80, 4,615.32 and 885.48 is: 1,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.80 : 4,615.32 = 885.48 : x
  2. Step 2: Convert to fraction form
    3,076.80/4,615.32 = 885.48/x
  3. Step 3: Cross multiply
    3,076.80x = 4,615.32 × 885.48
  4. Step 4: Simplify right side
    3,076.80x = 4,086,773.55
  5. Step 5: Solve for x
    x = 4,086,773.55/3,076.80
  6. Step 6: Final answer
    x = 1,328.25

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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.