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Finding the Fourth Proportional to 27,774.92, 38,329.24 and 15,199.64

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Solution

The fourth proportional to 27,774.92, 38,329.24 and 15,199.64 is: 20,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.92 : 38,329.24 = 15,199.64 : x
  2. Step 2: Convert to fraction form
    27,774.92/38,329.24 = 15,199.64/x
  3. Step 3: Cross multiply
    27,774.92x = 38,329.24 × 15,199.64
  4. Step 4: Simplify right side
    27,774.92x = 582,590,649.47
  5. Step 5: Solve for x
    x = 582,590,649.47/27,774.92
  6. Step 6: Final answer
    x = 20,975.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.