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Finding the Fourth Proportional to 8,190.50, 12,286.52 and 3,259.01

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Solution

The fourth proportional to 8,190.50, 12,286.52 and 3,259.01 is: 4,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.50 : 12,286.52 = 3,259.01 : x
  2. Step 2: Convert to fraction form
    8,190.50/12,286.52 = 3,259.01/x
  3. Step 3: Cross multiply
    8,190.50x = 12,286.52 × 3,259.01
  4. Step 4: Simplify right side
    8,190.50x = 40,041,813.82
  5. Step 5: Solve for x
    x = 40,041,813.82/8,190.50
  6. Step 6: Final answer
    x = 4,888.81

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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.