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Finding the Fourth Proportional to 27,755.52, 38,302.92 and 15,180

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Solution

The fourth proportional to 27,755.52, 38,302.92 and 15,180 is: 20,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.52 : 38,302.92 = 15,180 : x
  2. Step 2: Convert to fraction form
    27,755.52/38,302.92 = 15,180/x
  3. Step 3: Cross multiply
    27,755.52x = 38,302.92 × 15,180
  4. Step 4: Simplify right side
    27,755.52x = 581,438,325.60
  5. Step 5: Solve for x
    x = 581,438,325.60/27,755.52
  6. Step 6: Final answer
    x = 20,948.57

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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.