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Finding the Fourth Proportional to 8,129, 11,218.02 and 4,403

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Solution

The fourth proportional to 8,129, 11,218.02 and 4,403 is: 6,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 11,218.02 = 4,403 : x
  2. Step 2: Convert to fraction form
    8,129/11,218.02 = 4,403/x
  3. Step 3: Cross multiply
    8,129x = 11,218.02 × 4,403
  4. Step 4: Simplify right side
    8,129x = 49,392,942.06
  5. Step 5: Solve for x
    x = 49,392,942.06/8,129
  6. Step 6: Final answer
    x = 6,076.14

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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.