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Finding the Fourth Proportional to 2,005.18, 3,006.97 and 771.90

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Solution

The fourth proportional to 2,005.18, 3,006.97 and 771.90 is: 1,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.18 : 3,006.97 = 771.90 : x
  2. Step 2: Convert to fraction form
    2,005.18/3,006.97 = 771.90/x
  3. Step 3: Cross multiply
    2,005.18x = 3,006.97 × 771.90
  4. Step 4: Simplify right side
    2,005.18x = 2,321,076.28
  5. Step 5: Solve for x
    x = 2,321,076.28/2,005.18
  6. Step 6: Final answer
    x = 1,157.54

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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.