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Finding the Fourth Proportional to 27,652, 38,160.36 and 15,076.80

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Solution

The fourth proportional to 27,652, 38,160.36 and 15,076.80 is: 20,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 38,160.36 = 15,076.80 : x
  2. Step 2: Convert to fraction form
    27,652/38,160.36 = 15,076.80/x
  3. Step 3: Cross multiply
    27,652x = 38,160.36 × 15,076.80
  4. Step 4: Simplify right side
    27,652x = 575,336,115.65
  5. Step 5: Solve for x
    x = 575,336,115.65/27,652
  6. Step 6: Final answer
    x = 20,806.31

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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.