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Finding the Fourth Proportional to 6,474.61, 9,714.08 and 3,189.97

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Solution

The fourth proportional to 6,474.61, 9,714.08 and 3,189.97 is: 4,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.61 : 9,714.08 = 3,189.97 : x
  2. Step 2: Convert to fraction form
    6,474.61/9,714.08 = 3,189.97/x
  3. Step 3: Cross multiply
    6,474.61x = 9,714.08 × 3,189.97
  4. Step 4: Simplify right side
    6,474.61x = 30,987,623.78
  5. Step 5: Solve for x
    x = 30,987,623.78/6,474.61
  6. Step 6: Final answer
    x = 4,786.02

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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.