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Finding the Fourth Proportional to 27,129, 40,694.28 and 8,661

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Solution

The fourth proportional to 27,129, 40,694.28 and 8,661 is: 12,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129 : 40,694.28 = 8,661 : x
  2. Step 2: Convert to fraction form
    27,129/40,694.28 = 8,661/x
  3. Step 3: Cross multiply
    27,129x = 40,694.28 × 8,661
  4. Step 4: Simplify right side
    27,129x = 352,453,159.08
  5. Step 5: Solve for x
    x = 352,453,159.08/27,129
  6. Step 6: Final answer
    x = 12,991.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.