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Finding the Fourth Proportional to 6,812.70, 9,402.12 and 3,829.26

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Solution

The fourth proportional to 6,812.70, 9,402.12 and 3,829.26 is: 5,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.70 : 9,402.12 = 3,829.26 : x
  2. Step 2: Convert to fraction form
    6,812.70/9,402.12 = 3,829.26/x
  3. Step 3: Cross multiply
    6,812.70x = 9,402.12 × 3,829.26
  4. Step 4: Simplify right side
    6,812.70x = 36,003,162.03
  5. Step 5: Solve for x
    x = 36,003,162.03/6,812.70
  6. Step 6: Final answer
    x = 5,284.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.