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Finding the Fourth Proportional to 3,857.90, 5,786.78 and 936.18

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Solution

The fourth proportional to 3,857.90, 5,786.78 and 936.18 is: 1,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.90 : 5,786.78 = 936.18 : x
  2. Step 2: Convert to fraction form
    3,857.90/5,786.78 = 936.18/x
  3. Step 3: Cross multiply
    3,857.90x = 5,786.78 × 936.18
  4. Step 4: Simplify right side
    3,857.90x = 5,417,467.70
  5. Step 5: Solve for x
    x = 5,417,467.70/3,857.90
  6. Step 6: Final answer
    x = 1,404.25

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1.5x scale

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.