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Finding the Fourth Proportional to 6,866.21, 10,290.21 and 3,578.42

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Solution

The fourth proportional to 6,866.21, 10,290.21 and 3,578.42 is: 5,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.21 : 10,290.21 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    6,866.21/10,290.21 = 3,578.42/x
  3. Step 3: Cross multiply
    6,866.21x = 10,290.21 × 3,578.42
  4. Step 4: Simplify right side
    6,866.21x = 36,822,705.57
  5. Step 5: Solve for x
    x = 36,822,705.57/6,866.21
  6. Step 6: Final answer
    x = 5,362.88

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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.