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Finding the Fourth Proportional to 11,774.38, 16,252.91 and 7,796.78

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Solution

The fourth proportional to 11,774.38, 16,252.91 and 7,796.78 is: 10,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.38 : 16,252.91 = 7,796.78 : x
  2. Step 2: Convert to fraction form
    11,774.38/16,252.91 = 7,796.78/x
  3. Step 3: Cross multiply
    11,774.38x = 16,252.91 × 7,796.78
  4. Step 4: Simplify right side
    11,774.38x = 126,720,363.63
  5. Step 5: Solve for x
    x = 126,720,363.63/11,774.38
  6. Step 6: Final answer
    x = 10,762.38

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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.