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Finding the Fourth Proportional to 13,760, 20,640.08 and 3,371.76

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Solution

The fourth proportional to 13,760, 20,640.08 and 3,371.76 is: 5,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760 : 20,640.08 = 3,371.76 : x
  2. Step 2: Convert to fraction form
    13,760/20,640.08 = 3,371.76/x
  3. Step 3: Cross multiply
    13,760x = 20,640.08 × 3,371.76
  4. Step 4: Simplify right side
    13,760x = 69,593,396.14
  5. Step 5: Solve for x
    x = 69,593,396.14/13,760
  6. Step 6: Final answer
    x = 5,057.66

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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.