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Finding the Fourth Proportional to 3,859.36, 5,786.34 and 1,910.32

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Solution

The fourth proportional to 3,859.36, 5,786.34 and 1,910.32 is: 2,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.36 : 5,786.34 = 1,910.32 : x
  2. Step 2: Convert to fraction form
    3,859.36/5,786.34 = 1,910.32/x
  3. Step 3: Cross multiply
    3,859.36x = 5,786.34 × 1,910.32
  4. Step 4: Simplify right side
    3,859.36x = 11,053,761.03
  5. Step 5: Solve for x
    x = 11,053,761.03/3,859.36
  6. Step 6: Final answer
    x = 2,864.14

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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.