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Finding the Fourth Proportional to 12,173, 18,259.84 and 3,965

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Solution

The fourth proportional to 12,173, 18,259.84 and 3,965 is: 5,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173 : 18,259.84 = 3,965 : x
  2. Step 2: Convert to fraction form
    12,173/18,259.84 = 3,965/x
  3. Step 3: Cross multiply
    12,173x = 18,259.84 × 3,965
  4. Step 4: Simplify right side
    12,173x = 72,400,265.60
  5. Step 5: Solve for x
    x = 72,400,265.60/12,173
  6. Step 6: Final answer
    x = 5,947.61

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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.