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Finding the Fourth Proportional to 7,609.80, 11,414.70 and 7,318.20

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Solution

The fourth proportional to 7,609.80, 11,414.70 and 7,318.20 is: 10,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.80 : 11,414.70 = 7,318.20 : x
  2. Step 2: Convert to fraction form
    7,609.80/11,414.70 = 7,318.20/x
  3. Step 3: Cross multiply
    7,609.80x = 11,414.70 × 7,318.20
  4. Step 4: Simplify right side
    7,609.80x = 83,535,057.54
  5. Step 5: Solve for x
    x = 83,535,057.54/7,609.80
  6. Step 6: Final answer
    x = 10,977.30

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1.5x scale

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.