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Finding the Fourth Proportional to 11,691.86, 16,122.48 and 7,707.88

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Solution

The fourth proportional to 11,691.86, 16,122.48 and 7,707.88 is: 10,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.86 : 16,122.48 = 7,707.88 : x
  2. Step 2: Convert to fraction form
    11,691.86/16,122.48 = 7,707.88/x
  3. Step 3: Cross multiply
    11,691.86x = 16,122.48 × 7,707.88
  4. Step 4: Simplify right side
    11,691.86x = 124,270,060.53
  5. Step 5: Solve for x
    x = 124,270,060.53/11,691.86
  6. Step 6: Final answer
    x = 10,628.77

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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.