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Finding the Fourth Proportional to 2,372.46, 3,558.78 and 641.09

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Solution

The fourth proportional to 2,372.46, 3,558.78 and 641.09 is: 961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.46 : 3,558.78 = 641.09 : x
  2. Step 2: Convert to fraction form
    2,372.46/3,558.78 = 641.09/x
  3. Step 3: Cross multiply
    2,372.46x = 3,558.78 × 641.09
  4. Step 4: Simplify right side
    2,372.46x = 2,281,480.48
  5. Step 5: Solve for x
    x = 2,281,480.48/2,372.46
  6. Step 6: Final answer
    x = 961.65

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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.