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Finding the Fourth Proportional to 27,876, 38,467.92 and 15,128.64

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Solution

The fourth proportional to 27,876, 38,467.92 and 15,128.64 is: 20,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 38,467.92 = 15,128.64 : x
  2. Step 2: Convert to fraction form
    27,876/38,467.92 = 15,128.64/x
  3. Step 3: Cross multiply
    27,876x = 38,467.92 × 15,128.64
  4. Step 4: Simplify right side
    27,876x = 581,967,313.23
  5. Step 5: Solve for x
    x = 581,967,313.23/27,876
  6. Step 6: Final answer
    x = 20,877.00

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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.