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Finding the Fourth Proportional to 27,909, 38,514.42 and 15,334.56

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Solution

The fourth proportional to 27,909, 38,514.42 and 15,334.56 is: 21,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 38,514.42 = 15,334.56 : x
  2. Step 2: Convert to fraction form
    27,909/38,514.42 = 15,334.56/x
  3. Step 3: Cross multiply
    27,909x = 38,514.42 × 15,334.56
  4. Step 4: Simplify right side
    27,909x = 590,601,684.36
  5. Step 5: Solve for x
    x = 590,601,684.36/27,909
  6. Step 6: Final answer
    x = 21,161.69

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1.5x scale

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.