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Finding the Fourth Proportional to 6,821, 10,226.06 and 3,534.60

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Solution

The fourth proportional to 6,821, 10,226.06 and 3,534.60 is: 5,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821 : 10,226.06 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    6,821/10,226.06 = 3,534.60/x
  3. Step 3: Cross multiply
    6,821x = 10,226.06 × 3,534.60
  4. Step 4: Simplify right side
    6,821x = 36,145,031.68
  5. Step 5: Solve for x
    x = 36,145,031.68/6,821
  6. Step 6: Final answer
    x = 5,299.08

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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.