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Finding the Fourth Proportional to 6,817.70, 10,217.64 and 6,645.98

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Solution

The fourth proportional to 6,817.70, 10,217.64 and 6,645.98 is: 9,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.70 : 10,217.64 = 6,645.98 : x
  2. Step 2: Convert to fraction form
    6,817.70/10,217.64 = 6,645.98/x
  3. Step 3: Cross multiply
    6,817.70x = 10,217.64 × 6,645.98
  4. Step 4: Simplify right side
    6,817.70x = 67,906,231.09
  5. Step 5: Solve for x
    x = 67,906,231.09/6,817.70
  6. Step 6: Final answer
    x = 9,960.28

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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.