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Finding the Fourth Proportional to 6,978.90, 10,466.49 and 3,280.44

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Solution

The fourth proportional to 6,978.90, 10,466.49 and 3,280.44 is: 4,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.90 : 10,466.49 = 3,280.44 : x
  2. Step 2: Convert to fraction form
    6,978.90/10,466.49 = 3,280.44/x
  3. Step 3: Cross multiply
    6,978.90x = 10,466.49 × 3,280.44
  4. Step 4: Simplify right side
    6,978.90x = 34,334,692.46
  5. Step 5: Solve for x
    x = 34,334,692.46/6,978.90
  6. Step 6: Final answer
    x = 4,919.79

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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.