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Finding the Fourth Proportional to 8,474.50, 11,694.81 and 5,162.50

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Solution

The fourth proportional to 8,474.50, 11,694.81 and 5,162.50 is: 7,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.50 : 11,694.81 = 5,162.50 : x
  2. Step 2: Convert to fraction form
    8,474.50/11,694.81 = 5,162.50/x
  3. Step 3: Cross multiply
    8,474.50x = 11,694.81 × 5,162.50
  4. Step 4: Simplify right side
    8,474.50x = 60,374,456.63
  5. Step 5: Solve for x
    x = 60,374,456.63/8,474.50
  6. Step 6: Final answer
    x = 7,124.25

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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.