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Finding the Fourth Proportional to 11,478.50, 17,220.64 and 3,270.50

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Solution

The fourth proportional to 11,478.50, 17,220.64 and 3,270.50 is: 4,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.50 : 17,220.64 = 3,270.50 : x
  2. Step 2: Convert to fraction form
    11,478.50/17,220.64 = 3,270.50/x
  3. Step 3: Cross multiply
    11,478.50x = 17,220.64 × 3,270.50
  4. Step 4: Simplify right side
    11,478.50x = 56,320,103.12
  5. Step 5: Solve for x
    x = 56,320,103.12/11,478.50
  6. Step 6: Final answer
    x = 4,906.57

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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.