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Finding the Fourth Proportional to 13,203, 18,229.86 and 9,003.96

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Solution

The fourth proportional to 13,203, 18,229.86 and 9,003.96 is: 12,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 18,229.86 = 9,003.96 : x
  2. Step 2: Convert to fraction form
    13,203/18,229.86 = 9,003.96/x
  3. Step 3: Cross multiply
    13,203x = 18,229.86 × 9,003.96
  4. Step 4: Simplify right side
    13,203x = 164,140,930.25
  5. Step 5: Solve for x
    x = 164,140,930.25/13,203
  6. Step 6: Final answer
    x = 12,432.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.