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Finding the Fourth Proportional to 6,651.82, 9,963.41 and 3,136.55

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Solution

The fourth proportional to 6,651.82, 9,963.41 and 3,136.55 is: 4,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.82 : 9,963.41 = 3,136.55 : x
  2. Step 2: Convert to fraction form
    6,651.82/9,963.41 = 3,136.55/x
  3. Step 3: Cross multiply
    6,651.82x = 9,963.41 × 3,136.55
  4. Step 4: Simplify right side
    6,651.82x = 31,250,733.64
  5. Step 5: Solve for x
    x = 31,250,733.64/6,651.82
  6. Step 6: Final answer
    x = 4,698.08

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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.