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Finding the Fourth Proportional to 8,392.50, 12,591 and 7,474.37

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Solution

The fourth proportional to 8,392.50, 12,591 and 7,474.37 is: 11,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.50 : 12,591 = 7,474.37 : x
  2. Step 2: Convert to fraction form
    8,392.50/12,591 = 7,474.37/x
  3. Step 3: Cross multiply
    8,392.50x = 12,591 × 7,474.37
  4. Step 4: Simplify right side
    8,392.50x = 94,109,729.72
  5. Step 5: Solve for x
    x = 94,109,729.72/8,392.50
  6. Step 6: Final answer
    x = 11,213.55

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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.