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Finding the Fourth Proportional to 2,372.36, 3,558.78 and 641

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Solution

The fourth proportional to 2,372.36, 3,558.78 and 641 is: 961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.36 : 3,558.78 = 641 : x
  2. Step 2: Convert to fraction form
    2,372.36/3,558.78 = 641/x
  3. Step 3: Cross multiply
    2,372.36x = 3,558.78 × 641
  4. Step 4: Simplify right side
    2,372.36x = 2,281,177.98
  5. Step 5: Solve for x
    x = 2,281,177.98/2,372.36
  6. Step 6: Final answer
    x = 961.56

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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.