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Finding the Fourth Proportional to 27,774.38, 41,664.24 and 7,783.88

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Solution

The fourth proportional to 27,774.38, 41,664.24 and 7,783.88 is: 11,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.38 : 41,664.24 = 7,783.88 : x
  2. Step 2: Convert to fraction form
    27,774.38/41,664.24 = 7,783.88/x
  3. Step 3: Cross multiply
    27,774.38x = 41,664.24 × 7,783.88
  4. Step 4: Simplify right side
    27,774.38x = 324,309,444.45
  5. Step 5: Solve for x
    x = 324,309,444.45/27,774.38
  6. Step 6: Final answer
    x = 11,676.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.