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Finding the Fourth Proportional to 11,672.76, 17,511.60 and 3,775.92

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Solution

The fourth proportional to 11,672.76, 17,511.60 and 3,775.92 is: 5,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.76 : 17,511.60 = 3,775.92 : x
  2. Step 2: Convert to fraction form
    11,672.76/17,511.60 = 3,775.92/x
  3. Step 3: Cross multiply
    11,672.76x = 17,511.60 × 3,775.92
  4. Step 4: Simplify right side
    11,672.76x = 66,122,400.67
  5. Step 5: Solve for x
    x = 66,122,400.67/11,672.76
  6. Step 6: Final answer
    x = 5,664.68

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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.