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Finding the Fourth Proportional to 9,963.80, 14,942.25 and 3,388.42

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Solution

The fourth proportional to 9,963.80, 14,942.25 and 3,388.42 is: 5,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.80 : 14,942.25 = 3,388.42 : x
  2. Step 2: Convert to fraction form
    9,963.80/14,942.25 = 3,388.42/x
  3. Step 3: Cross multiply
    9,963.80x = 14,942.25 × 3,388.42
  4. Step 4: Simplify right side
    9,963.80x = 50,630,618.75
  5. Step 5: Solve for x
    x = 50,630,618.75/9,963.80
  6. Step 6: Final answer
    x = 5,081.46

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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.