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Finding the Fourth Proportional to 6,691.40, 10,022.70 and 3,609.80

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Solution

The fourth proportional to 6,691.40, 10,022.70 and 3,609.80 is: 5,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.40 : 10,022.70 = 3,609.80 : x
  2. Step 2: Convert to fraction form
    6,691.40/10,022.70 = 3,609.80/x
  3. Step 3: Cross multiply
    6,691.40x = 10,022.70 × 3,609.80
  4. Step 4: Simplify right side
    6,691.40x = 36,179,942.46
  5. Step 5: Solve for x
    x = 36,179,942.46/6,691.40
  6. Step 6: Final answer
    x = 5,406.93

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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.