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Finding the Fourth Proportional to 27,647.70, 38,154 and 15,072.42

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Solution

The fourth proportional to 27,647.70, 38,154 and 15,072.42 is: 20,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.70 : 38,154 = 15,072.42 : x
  2. Step 2: Convert to fraction form
    27,647.70/38,154 = 15,072.42/x
  3. Step 3: Cross multiply
    27,647.70x = 38,154 × 15,072.42
  4. Step 4: Simplify right side
    27,647.70x = 575,073,112.68
  5. Step 5: Solve for x
    x = 575,073,112.68/27,647.70
  6. Step 6: Final answer
    x = 20,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.