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Finding the Fourth Proportional to 18,205.12, 27,288 and 8,825.28

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Solution

The fourth proportional to 18,205.12, 27,288 and 8,825.28 is: 13,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.12 : 27,288 = 8,825.28 : x
  2. Step 2: Convert to fraction form
    18,205.12/27,288 = 8,825.28/x
  3. Step 3: Cross multiply
    18,205.12x = 27,288 × 8,825.28
  4. Step 4: Simplify right side
    18,205.12x = 240,824,240.64
  5. Step 5: Solve for x
    x = 240,824,240.64/18,205.12
  6. Step 6: Final answer
    x = 13,228.38

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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.