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Finding the Fourth Proportional to 2,004.57, 3,006.90 and 771.84

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Solution

The fourth proportional to 2,004.57, 3,006.90 and 771.84 is: 1,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.57 : 3,006.90 = 771.84 : x
  2. Step 2: Convert to fraction form
    2,004.57/3,006.90 = 771.84/x
  3. Step 3: Cross multiply
    2,004.57x = 3,006.90 × 771.84
  4. Step 4: Simplify right side
    2,004.57x = 2,320,845.70
  5. Step 5: Solve for x
    x = 2,320,845.70/2,004.57
  6. Step 6: Final answer
    x = 1,157.78

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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.