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Finding the Fourth Proportional to 8,221, 11,347.86 and 4,909

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Solution

The fourth proportional to 8,221, 11,347.86 and 4,909 is: 6,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 11,347.86 = 4,909 : x
  2. Step 2: Convert to fraction form
    8,221/11,347.86 = 4,909/x
  3. Step 3: Cross multiply
    8,221x = 11,347.86 × 4,909
  4. Step 4: Simplify right side
    8,221x = 55,706,644.74
  5. Step 5: Solve for x
    x = 55,706,644.74/8,221
  6. Step 6: Final answer
    x = 6,776.14

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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.