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Finding the Fourth Proportional to 7,169.81, 9,894.01 and 3,983.33

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Solution

The fourth proportional to 7,169.81, 9,894.01 and 3,983.33 is: 5,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.81 : 9,894.01 = 3,983.33 : x
  2. Step 2: Convert to fraction form
    7,169.81/9,894.01 = 3,983.33/x
  3. Step 3: Cross multiply
    7,169.81x = 9,894.01 × 3,983.33
  4. Step 4: Simplify right side
    7,169.81x = 39,411,057.38
  5. Step 5: Solve for x
    x = 39,411,057.38/7,169.81
  6. Step 6: Final answer
    x = 5,496.81

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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.