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Finding the Fourth Proportional to 18,272.16, 27,409.68 and 9,036

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Solution

The fourth proportional to 18,272.16, 27,409.68 and 9,036 is: 13,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,272.16 : 27,409.68 = 9,036 : x
  2. Step 2: Convert to fraction form
    18,272.16/27,409.68 = 9,036/x
  3. Step 3: Cross multiply
    18,272.16x = 27,409.68 × 9,036
  4. Step 4: Simplify right side
    18,272.16x = 247,673,868.48
  5. Step 5: Solve for x
    x = 247,673,868.48/18,272.16
  6. Step 6: Final answer
    x = 13,554.71

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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.