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Finding the Fourth Proportional to 18,166.50, 27,235.04 and 5,680.09

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Solution

The fourth proportional to 18,166.50, 27,235.04 and 5,680.09 is: 8,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,166.50 : 27,235.04 = 5,680.09 : x
  2. Step 2: Convert to fraction form
    18,166.50/27,235.04 = 5,680.09/x
  3. Step 3: Cross multiply
    18,166.50x = 27,235.04 × 5,680.09
  4. Step 4: Simplify right side
    18,166.50x = 154,697,478.35
  5. Step 5: Solve for x
    x = 154,697,478.35/18,166.50
  6. Step 6: Final answer
    x = 8,515.54

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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.