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Finding the Fourth Proportional to 27,617.50, 38,112.30 and 15,042.28

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Solution

The fourth proportional to 27,617.50, 38,112.30 and 15,042.28 is: 20,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.50 : 38,112.30 = 15,042.28 : x
  2. Step 2: Convert to fraction form
    27,617.50/38,112.30 = 15,042.28/x
  3. Step 3: Cross multiply
    27,617.50x = 38,112.30 × 15,042.28
  4. Step 4: Simplify right side
    27,617.50x = 573,295,888.04
  5. Step 5: Solve for x
    x = 573,295,888.04/27,617.50
  6. Step 6: Final answer
    x = 20,758.43

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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.