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Finding the Fourth Proportional to 3,982.92, 5,975.16 and 1,209.28

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Solution

The fourth proportional to 3,982.92, 5,975.16 and 1,209.28 is: 1,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.92 : 5,975.16 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    3,982.92/5,975.16 = 1,209.28/x
  3. Step 3: Cross multiply
    3,982.92x = 5,975.16 × 1,209.28
  4. Step 4: Simplify right side
    3,982.92x = 7,225,641.48
  5. Step 5: Solve for x
    x = 7,225,641.48/3,982.92
  6. Step 6: Final answer
    x = 1,814.16

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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.