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Finding the Fourth Proportional to 6,806.50, 10,209.75 and 2,189.50

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Solution

The fourth proportional to 6,806.50, 10,209.75 and 2,189.50 is: 3,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.50 : 10,209.75 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    6,806.50/10,209.75 = 2,189.50/x
  3. Step 3: Cross multiply
    6,806.50x = 10,209.75 × 2,189.50
  4. Step 4: Simplify right side
    6,806.50x = 22,354,247.63
  5. Step 5: Solve for x
    x = 22,354,247.63/6,806.50
  6. Step 6: Final answer
    x = 3,284.25

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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.