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Finding the Fourth Proportional to 7,147.80, 9,863.72 and 3,960.98

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Solution

The fourth proportional to 7,147.80, 9,863.72 and 3,960.98 is: 5,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.80 : 9,863.72 = 3,960.98 : x
  2. Step 2: Convert to fraction form
    7,147.80/9,863.72 = 3,960.98/x
  3. Step 3: Cross multiply
    7,147.80x = 9,863.72 × 3,960.98
  4. Step 4: Simplify right side
    7,147.80x = 39,069,997.65
  5. Step 5: Solve for x
    x = 39,069,997.65/7,147.80
  6. Step 6: Final answer
    x = 5,466.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.