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Finding the Fourth Proportional to 7,969.88, 11,957.70 and 3,863

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Solution

The fourth proportional to 7,969.88, 11,957.70 and 3,863 is: 5,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.88 : 11,957.70 = 3,863 : x
  2. Step 2: Convert to fraction form
    7,969.88/11,957.70 = 3,863/x
  3. Step 3: Cross multiply
    7,969.88x = 11,957.70 × 3,863
  4. Step 4: Simplify right side
    7,969.88x = 46,192,595.10
  5. Step 5: Solve for x
    x = 46,192,595.10/7,969.88
  6. Step 6: Final answer
    x = 5,795.90

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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.