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Finding the Fourth Proportional to 8,412, 11,608.92 and 4,686

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Solution

The fourth proportional to 8,412, 11,608.92 and 4,686 is: 6,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412 : 11,608.92 = 4,686 : x
  2. Step 2: Convert to fraction form
    8,412/11,608.92 = 4,686/x
  3. Step 3: Cross multiply
    8,412x = 11,608.92 × 4,686
  4. Step 4: Simplify right side
    8,412x = 54,399,399.12
  5. Step 5: Solve for x
    x = 54,399,399.12/8,412
  6. Step 6: Final answer
    x = 6,466.88

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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.