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Finding the Fourth Proportional to 7,480.53, 11,219.76 and 3,969

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Solution

The fourth proportional to 7,480.53, 11,219.76 and 3,969 is: 5,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.53 : 11,219.76 = 3,969 : x
  2. Step 2: Convert to fraction form
    7,480.53/11,219.76 = 3,969/x
  3. Step 3: Cross multiply
    7,480.53x = 11,219.76 × 3,969
  4. Step 4: Simplify right side
    7,480.53x = 44,531,227.44
  5. Step 5: Solve for x
    x = 44,531,227.44/7,480.53
  6. Step 6: Final answer
    x = 5,952.95

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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.