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Finding the Fourth Proportional to 2,004.46, 3,006.71 and 617.78

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Solution

The fourth proportional to 2,004.46, 3,006.71 and 617.78 is: 926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.46 : 3,006.71 = 617.78 : x
  2. Step 2: Convert to fraction form
    2,004.46/3,006.71 = 617.78/x
  3. Step 3: Cross multiply
    2,004.46x = 3,006.71 × 617.78
  4. Step 4: Simplify right side
    2,004.46x = 1,857,485.30
  5. Step 5: Solve for x
    x = 1,857,485.30/2,004.46
  6. Step 6: Final answer
    x = 926.68

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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.