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Finding the Fourth Proportional to 18,564.80, 27,850.32 and 9,205.28

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Solution

The fourth proportional to 18,564.80, 27,850.32 and 9,205.28 is: 13,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.80 : 27,850.32 = 9,205.28 : x
  2. Step 2: Convert to fraction form
    18,564.80/27,850.32 = 9,205.28/x
  3. Step 3: Cross multiply
    18,564.80x = 27,850.32 × 9,205.28
  4. Step 4: Simplify right side
    18,564.80x = 256,369,993.69
  5. Step 5: Solve for x
    x = 256,369,993.69/18,564.80
  6. Step 6: Final answer
    x = 13,809.47

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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.