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Finding the Fourth Proportional to 6,982.86, 9,636.21 and 3,839.10

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Solution

The fourth proportional to 6,982.86, 9,636.21 and 3,839.10 is: 5,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.86 : 9,636.21 = 3,839.10 : x
  2. Step 2: Convert to fraction form
    6,982.86/9,636.21 = 3,839.10/x
  3. Step 3: Cross multiply
    6,982.86x = 9,636.21 × 3,839.10
  4. Step 4: Simplify right side
    6,982.86x = 36,994,373.81
  5. Step 5: Solve for x
    x = 36,994,373.81/6,982.86
  6. Step 6: Final answer
    x = 5,297.88

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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.