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Finding the Fourth Proportional to 2,004.30, 3,006.73 and 617.75

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Solution

The fourth proportional to 2,004.30, 3,006.73 and 617.75 is: 926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.30 : 3,006.73 = 617.75 : x
  2. Step 2: Convert to fraction form
    2,004.30/3,006.73 = 617.75/x
  3. Step 3: Cross multiply
    2,004.30x = 3,006.73 × 617.75
  4. Step 4: Simplify right side
    2,004.30x = 1,857,407.46
  5. Step 5: Solve for x
    x = 1,857,407.46/2,004.30
  6. Step 6: Final answer
    x = 926.71

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1.5x scale

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.