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Finding the Fourth Proportional to 27,617.36, 38,112 and 15,042.16

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Solution

The fourth proportional to 27,617.36, 38,112 and 15,042.16 is: 20,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.36 : 38,112 = 15,042.16 : x
  2. Step 2: Convert to fraction form
    27,617.36/38,112 = 15,042.16/x
  3. Step 3: Cross multiply
    27,617.36x = 38,112 × 15,042.16
  4. Step 4: Simplify right side
    27,617.36x = 573,286,801.92
  5. Step 5: Solve for x
    x = 573,286,801.92/27,617.36
  6. Step 6: Final answer
    x = 20,758.20

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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.