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Finding the Fourth Proportional to 27,638.01, 38,141.01 and 15,062.76

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Solution

The fourth proportional to 27,638.01, 38,141.01 and 15,062.76 is: 20,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.01 : 38,141.01 = 15,062.76 : x
  2. Step 2: Convert to fraction form
    27,638.01/38,141.01 = 15,062.76/x
  3. Step 3: Cross multiply
    27,638.01x = 38,141.01 × 15,062.76
  4. Step 4: Simplify right side
    27,638.01x = 574,508,879.79
  5. Step 5: Solve for x
    x = 574,508,879.79/27,638.01
  6. Step 6: Final answer
    x = 20,786.91

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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.