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Finding the Fourth Proportional to 7,427.80, 11,147.10 and 4,961.80

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Solution

The fourth proportional to 7,427.80, 11,147.10 and 4,961.80 is: 7,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.80 : 11,147.10 = 4,961.80 : x
  2. Step 2: Convert to fraction form
    7,427.80/11,147.10 = 4,961.80/x
  3. Step 3: Cross multiply
    7,427.80x = 11,147.10 × 4,961.80
  4. Step 4: Simplify right side
    7,427.80x = 55,309,680.78
  5. Step 5: Solve for x
    x = 55,309,680.78/7,427.80
  6. Step 6: Final answer
    x = 7,446.31

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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.