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Finding the Fourth Proportional to 11,751, 17,627.22 and 3,543

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Solution

The fourth proportional to 11,751, 17,627.22 and 3,543 is: 5,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 17,627.22 = 3,543 : x
  2. Step 2: Convert to fraction form
    11,751/17,627.22 = 3,543/x
  3. Step 3: Cross multiply
    11,751x = 17,627.22 × 3,543
  4. Step 4: Simplify right side
    11,751x = 62,453,240.46
  5. Step 5: Solve for x
    x = 62,453,240.46/11,751
  6. Step 6: Final answer
    x = 5,314.72

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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.