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Finding the Fourth Proportional to 3,859.70, 5,786.70 and 1,911.45

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Solution

The fourth proportional to 3,859.70, 5,786.70 and 1,911.45 is: 2,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.70 : 5,786.70 = 1,911.45 : x
  2. Step 2: Convert to fraction form
    3,859.70/5,786.70 = 1,911.45/x
  3. Step 3: Cross multiply
    3,859.70x = 5,786.70 × 1,911.45
  4. Step 4: Simplify right side
    3,859.70x = 11,060,987.72
  5. Step 5: Solve for x
    x = 11,060,987.72/3,859.70
  6. Step 6: Final answer
    x = 2,865.77

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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.