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Finding the Fourth Proportional to 6,808.20, 10,206.90 and 3,730.20

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Solution

The fourth proportional to 6,808.20, 10,206.90 and 3,730.20 is: 5,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.20 : 10,206.90 = 3,730.20 : x
  2. Step 2: Convert to fraction form
    6,808.20/10,206.90 = 3,730.20/x
  3. Step 3: Cross multiply
    6,808.20x = 10,206.90 × 3,730.20
  4. Step 4: Simplify right side
    6,808.20x = 38,073,778.38
  5. Step 5: Solve for x
    x = 38,073,778.38/6,808.20
  6. Step 6: Final answer
    x = 5,592.34

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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.