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Finding the Fourth Proportional to 9,180, 13,770 and 3,636.36

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Solution

The fourth proportional to 9,180, 13,770 and 3,636.36 is: 5,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,770 = 3,636.36 : x
  2. Step 2: Convert to fraction form
    9,180/13,770 = 3,636.36/x
  3. Step 3: Cross multiply
    9,180x = 13,770 × 3,636.36
  4. Step 4: Simplify right side
    9,180x = 50,072,677.20
  5. Step 5: Solve for x
    x = 50,072,677.20/9,180
  6. Step 6: Final answer
    x = 5,454.54

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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.