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Finding the Fourth Proportional to 8,474.91, 12,713.56 and 3,208.47

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Solution

The fourth proportional to 8,474.91, 12,713.56 and 3,208.47 is: 4,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.91 : 12,713.56 = 3,208.47 : x
  2. Step 2: Convert to fraction form
    8,474.91/12,713.56 = 3,208.47/x
  3. Step 3: Cross multiply
    8,474.91x = 12,713.56 × 3,208.47
  4. Step 4: Simplify right side
    8,474.91x = 40,791,067.83
  5. Step 5: Solve for x
    x = 40,791,067.83/8,474.91
  6. Step 6: Final answer
    x = 4,813.16

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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.