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Finding the Fourth Proportional to 2,004.49, 3,006.46 and 617.87

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Solution

The fourth proportional to 2,004.49, 3,006.46 and 617.87 is: 926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.49 : 3,006.46 = 617.87 : x
  2. Step 2: Convert to fraction form
    2,004.49/3,006.46 = 617.87/x
  3. Step 3: Cross multiply
    2,004.49x = 3,006.46 × 617.87
  4. Step 4: Simplify right side
    2,004.49x = 1,857,586.41
  5. Step 5: Solve for x
    x = 1,857,586.41/2,004.49
  6. Step 6: Final answer
    x = 926.72

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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.