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Finding the Fourth Proportional to 11,917.92, 16,447.92 and 7,614

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Solution

The fourth proportional to 11,917.92, 16,447.92 and 7,614 is: 10,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.92 : 16,447.92 = 7,614 : x
  2. Step 2: Convert to fraction form
    11,917.92/16,447.92 = 7,614/x
  3. Step 3: Cross multiply
    11,917.92x = 16,447.92 × 7,614
  4. Step 4: Simplify right side
    11,917.92x = 125,234,462.88
  5. Step 5: Solve for x
    x = 125,234,462.88/11,917.92
  6. Step 6: Final answer
    x = 10,508.08

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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.