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Finding the Fourth Proportional to 3,856.34, 5,786.08 and 1,854.04

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Solution

The fourth proportional to 3,856.34, 5,786.08 and 1,854.04 is: 2,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.34 : 5,786.08 = 1,854.04 : x
  2. Step 2: Convert to fraction form
    3,856.34/5,786.08 = 1,854.04/x
  3. Step 3: Cross multiply
    3,856.34x = 5,786.08 × 1,854.04
  4. Step 4: Simplify right side
    3,856.34x = 10,727,625.94
  5. Step 5: Solve for x
    x = 10,727,625.94/3,856.34
  6. Step 6: Final answer
    x = 2,781.81

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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.