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Finding the Fourth Proportional to 3,857.08, 5,786.16 and 1,259.36

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Solution

The fourth proportional to 3,857.08, 5,786.16 and 1,259.36 is: 1,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.08 : 5,786.16 = 1,259.36 : x
  2. Step 2: Convert to fraction form
    3,857.08/5,786.16 = 1,259.36/x
  3. Step 3: Cross multiply
    3,857.08x = 5,786.16 × 1,259.36
  4. Step 4: Simplify right side
    3,857.08x = 7,286,858.46
  5. Step 5: Solve for x
    x = 7,286,858.46/3,857.08
  6. Step 6: Final answer
    x = 1,889.22

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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.