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Finding the Fourth Proportional to 3,856.70, 5,788.18 and 2,191.88

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Solution

The fourth proportional to 3,856.70, 5,788.18 and 2,191.88 is: 3,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.70 : 5,788.18 = 2,191.88 : x
  2. Step 2: Convert to fraction form
    3,856.70/5,788.18 = 2,191.88/x
  3. Step 3: Cross multiply
    3,856.70x = 5,788.18 × 2,191.88
  4. Step 4: Simplify right side
    3,856.70x = 12,686,995.98
  5. Step 5: Solve for x
    x = 12,686,995.98/3,856.70
  6. Step 6: Final answer
    x = 3,289.60

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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.