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Finding the Fourth Proportional to 11,749, 16,215.06 and 6,781

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Solution

The fourth proportional to 11,749, 16,215.06 and 6,781 is: 9,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749 : 16,215.06 = 6,781 : x
  2. Step 2: Convert to fraction form
    11,749/16,215.06 = 6,781/x
  3. Step 3: Cross multiply
    11,749x = 16,215.06 × 6,781
  4. Step 4: Simplify right side
    11,749x = 109,954,321.86
  5. Step 5: Solve for x
    x = 109,954,321.86/11,749
  6. Step 6: Final answer
    x = 9,358.61

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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.