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Finding the Fourth Proportional to 3,857.92, 5,786.98 and 1,225.44

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Solution

The fourth proportional to 3,857.92, 5,786.98 and 1,225.44 is: 1,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.92 : 5,786.98 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    3,857.92/5,786.98 = 1,225.44/x
  3. Step 3: Cross multiply
    3,857.92x = 5,786.98 × 1,225.44
  4. Step 4: Simplify right side
    3,857.92x = 7,091,593.71
  5. Step 5: Solve for x
    x = 7,091,593.71/3,857.92
  6. Step 6: Final answer
    x = 1,838.19

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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.