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Finding the Fourth Proportional to 2,372.48, 3,558.71 and 641.11

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Solution

The fourth proportional to 2,372.48, 3,558.71 and 641.11 is: 961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.48 : 3,558.71 = 641.11 : x
  2. Step 2: Convert to fraction form
    2,372.48/3,558.71 = 641.11/x
  3. Step 3: Cross multiply
    2,372.48x = 3,558.71 × 641.11
  4. Step 4: Simplify right side
    2,372.48x = 2,281,508.38
  5. Step 5: Solve for x
    x = 2,281,508.38/2,372.48
  6. Step 6: Final answer
    x = 961.66

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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.