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Finding the Fourth Proportional to 3,856.13, 5,786.50 and 1,664.86

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Solution

The fourth proportional to 3,856.13, 5,786.50 and 1,664.86 is: 2,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.13 : 5,786.50 = 1,664.86 : x
  2. Step 2: Convert to fraction form
    3,856.13/5,786.50 = 1,664.86/x
  3. Step 3: Cross multiply
    3,856.13x = 5,786.50 × 1,664.86
  4. Step 4: Simplify right side
    3,856.13x = 9,633,712.39
  5. Step 5: Solve for x
    x = 9,633,712.39/3,856.13
  6. Step 6: Final answer
    x = 2,498.29

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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.