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Finding the Fourth Proportional to 8,389.59, 12,584.81 and 3,195.87

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Solution

The fourth proportional to 8,389.59, 12,584.81 and 3,195.87 is: 4,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.59 : 12,584.81 = 3,195.87 : x
  2. Step 2: Convert to fraction form
    8,389.59/12,584.81 = 3,195.87/x
  3. Step 3: Cross multiply
    8,389.59x = 12,584.81 × 3,195.87
  4. Step 4: Simplify right side
    8,389.59x = 40,219,400.76
  5. Step 5: Solve for x
    x = 40,219,400.76/8,389.59
  6. Step 6: Final answer
    x = 4,793.96

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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.