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Finding the Fourth Proportional to 7,471.80, 11,209.20 and 2,206.80

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Solution

The fourth proportional to 7,471.80, 11,209.20 and 2,206.80 is: 3,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.80 : 11,209.20 = 2,206.80 : x
  2. Step 2: Convert to fraction form
    7,471.80/11,209.20 = 2,206.80/x
  3. Step 3: Cross multiply
    7,471.80x = 11,209.20 × 2,206.80
  4. Step 4: Simplify right side
    7,471.80x = 24,736,462.56
  5. Step 5: Solve for x
    x = 24,736,462.56/7,471.80
  6. Step 6: Final answer
    x = 3,310.64

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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.