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Finding the Fourth Proportional to 7,930.80, 11,881.52 and 3,977.44

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Solution

The fourth proportional to 7,930.80, 11,881.52 and 3,977.44 is: 5,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.80 : 11,881.52 = 3,977.44 : x
  2. Step 2: Convert to fraction form
    7,930.80/11,881.52 = 3,977.44/x
  3. Step 3: Cross multiply
    7,930.80x = 11,881.52 × 3,977.44
  4. Step 4: Simplify right side
    7,930.80x = 47,258,032.91
  5. Step 5: Solve for x
    x = 47,258,032.91/7,930.80
  6. Step 6: Final answer
    x = 5,958.80

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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.