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Finding the Fourth Proportional to 2,588.07, 3,882.04 and 640.27

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Solution

The fourth proportional to 2,588.07, 3,882.04 and 640.27 is: 960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.07 : 3,882.04 = 640.27 : x
  2. Step 2: Convert to fraction form
    2,588.07/3,882.04 = 640.27/x
  3. Step 3: Cross multiply
    2,588.07x = 3,882.04 × 640.27
  4. Step 4: Simplify right side
    2,588.07x = 2,485,553.75
  5. Step 5: Solve for x
    x = 2,485,553.75/2,588.07
  6. Step 6: Final answer
    x = 960.39

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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.