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Finding the Fourth Proportional to 11,591.21, 17,386 and 3,270.89

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Solution

The fourth proportional to 11,591.21, 17,386 and 3,270.89 is: 4,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.21 : 17,386 = 3,270.89 : x
  2. Step 2: Convert to fraction form
    11,591.21/17,386 = 3,270.89/x
  3. Step 3: Cross multiply
    11,591.21x = 17,386 × 3,270.89
  4. Step 4: Simplify right side
    11,591.21x = 56,867,693.54
  5. Step 5: Solve for x
    x = 56,867,693.54/11,591.21
  6. Step 6: Final answer
    x = 4,906.11

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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.