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Finding the Fourth Proportional to 8,209.75, 12,316.20 and 3,529.75

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Solution

The fourth proportional to 8,209.75, 12,316.20 and 3,529.75 is: 5,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.75 : 12,316.20 = 3,529.75 : x
  2. Step 2: Convert to fraction form
    8,209.75/12,316.20 = 3,529.75/x
  3. Step 3: Cross multiply
    8,209.75x = 12,316.20 × 3,529.75
  4. Step 4: Simplify right side
    8,209.75x = 43,473,106.95
  5. Step 5: Solve for x
    x = 43,473,106.95/8,209.75
  6. Step 6: Final answer
    x = 5,295.30

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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.