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Finding the Fourth Proportional to 27,750, 38,295 and 15,174.75

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Solution

The fourth proportional to 27,750, 38,295 and 15,174.75 is: 20,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750 : 38,295 = 15,174.75 : x
  2. Step 2: Convert to fraction form
    27,750/38,295 = 15,174.75/x
  3. Step 3: Cross multiply
    27,750x = 38,295 × 15,174.75
  4. Step 4: Simplify right side
    27,750x = 581,117,051.25
  5. Step 5: Solve for x
    x = 581,117,051.25/27,750
  6. Step 6: Final answer
    x = 20,941.16

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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.