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Finding the Fourth Proportional to 7,169.03, 9,894.84 and 3,983.42

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Solution

The fourth proportional to 7,169.03, 9,894.84 and 3,983.42 is: 5,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.03 : 9,894.84 = 3,983.42 : x
  2. Step 2: Convert to fraction form
    7,169.03/9,894.84 = 3,983.42/x
  3. Step 3: Cross multiply
    7,169.03x = 9,894.84 × 3,983.42
  4. Step 4: Simplify right side
    7,169.03x = 39,415,243.78
  5. Step 5: Solve for x
    x = 39,415,243.78/7,169.03
  6. Step 6: Final answer
    x = 5,497.99

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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.