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Finding the Fourth Proportional to 27,774.36, 38,329.47 and 15,199.38

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Solution

The fourth proportional to 27,774.36, 38,329.47 and 15,199.38 is: 20,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.36 : 38,329.47 = 15,199.38 : x
  2. Step 2: Convert to fraction form
    27,774.36/38,329.47 = 15,199.38/x
  3. Step 3: Cross multiply
    27,774.36x = 38,329.47 × 15,199.38
  4. Step 4: Simplify right side
    27,774.36x = 582,584,179.73
  5. Step 5: Solve for x
    x = 582,584,179.73/27,774.36
  6. Step 6: Final answer
    x = 20,975.61

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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.