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Finding the Fourth Proportional to 13,625.94, 20,439.60 and 3,765

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Solution

The fourth proportional to 13,625.94, 20,439.60 and 3,765 is: 5,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.94 : 20,439.60 = 3,765 : x
  2. Step 2: Convert to fraction form
    13,625.94/20,439.60 = 3,765/x
  3. Step 3: Cross multiply
    13,625.94x = 20,439.60 × 3,765
  4. Step 4: Simplify right side
    13,625.94x = 76,955,094
  5. Step 5: Solve for x
    x = 76,955,094/13,625.94
  6. Step 6: Final answer
    x = 5,647.69

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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.