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Finding the Fourth Proportional to 7,169.82, 9,894.45 and 3,983.19

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Solution

The fourth proportional to 7,169.82, 9,894.45 and 3,983.19 is: 5,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.82 : 9,894.45 = 3,983.19 : x
  2. Step 2: Convert to fraction form
    7,169.82/9,894.45 = 3,983.19/x
  3. Step 3: Cross multiply
    7,169.82x = 9,894.45 × 3,983.19
  4. Step 4: Simplify right side
    7,169.82x = 39,411,474.30
  5. Step 5: Solve for x
    x = 39,411,474.30/7,169.82
  6. Step 6: Final answer
    x = 5,496.86

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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.