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Finding the Fourth Proportional to 18,654.01, 27,978.26 and 6,805.01

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Solution

The fourth proportional to 18,654.01, 27,978.26 and 6,805.01 is: 10,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.01 : 27,978.26 = 6,805.01 : x
  2. Step 2: Convert to fraction form
    18,654.01/27,978.26 = 6,805.01/x
  3. Step 3: Cross multiply
    18,654.01x = 27,978.26 × 6,805.01
  4. Step 4: Simplify right side
    18,654.01x = 190,392,339.08
  5. Step 5: Solve for x
    x = 190,392,339.08/18,654.01
  6. Step 6: Final answer
    x = 10,206.51

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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.