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Finding the Fourth Proportional to 3,856.22, 5,784.33 and 2,213.81

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Solution

The fourth proportional to 3,856.22, 5,784.33 and 2,213.81 is: 3,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.22 : 5,784.33 = 2,213.81 : x
  2. Step 2: Convert to fraction form
    3,856.22/5,784.33 = 2,213.81/x
  3. Step 3: Cross multiply
    3,856.22x = 5,784.33 × 2,213.81
  4. Step 4: Simplify right side
    3,856.22x = 12,805,407.60
  5. Step 5: Solve for x
    x = 12,805,407.60/3,856.22
  6. Step 6: Final answer
    x = 3,320.72

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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.