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Finding the Fourth Proportional to 18,659.18, 27,986.31 and 6,176.12

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Solution

The fourth proportional to 18,659.18, 27,986.31 and 6,176.12 is: 9,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.18 : 27,986.31 = 6,176.12 : x
  2. Step 2: Convert to fraction form
    18,659.18/27,986.31 = 6,176.12/x
  3. Step 3: Cross multiply
    18,659.18x = 27,986.31 × 6,176.12
  4. Step 4: Simplify right side
    18,659.18x = 172,846,668.99
  5. Step 5: Solve for x
    x = 172,846,668.99/18,659.18
  6. Step 6: Final answer
    x = 9,263.36

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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.