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Finding the Fourth Proportional to 2,372.51, 3,558.49 and 641.27

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Solution

The fourth proportional to 2,372.51, 3,558.49 and 641.27 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.51 : 3,558.49 = 641.27 : x
  2. Step 2: Convert to fraction form
    2,372.51/3,558.49 = 641.27/x
  3. Step 3: Cross multiply
    2,372.51x = 3,558.49 × 641.27
  4. Step 4: Simplify right side
    2,372.51x = 2,281,952.88
  5. Step 5: Solve for x
    x = 2,281,952.88/2,372.51
  6. Step 6: Final answer
    x = 961.83

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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.