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Finding the Fourth Proportional to 13,185, 18,201.48 and 8,472

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Solution

The fourth proportional to 13,185, 18,201.48 and 8,472 is: 11,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 18,201.48 = 8,472 : x
  2. Step 2: Convert to fraction form
    13,185/18,201.48 = 8,472/x
  3. Step 3: Cross multiply
    13,185x = 18,201.48 × 8,472
  4. Step 4: Simplify right side
    13,185x = 154,202,938.56
  5. Step 5: Solve for x
    x = 154,202,938.56/13,185
  6. Step 6: Final answer
    x = 11,695.33

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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.