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Finding the Fourth Proportional to 3,856.61, 5,770.70 and 2,727.54

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Solution

The fourth proportional to 3,856.61, 5,770.70 and 2,727.54 is: 4,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.61 : 5,770.70 = 2,727.54 : x
  2. Step 2: Convert to fraction form
    3,856.61/5,770.70 = 2,727.54/x
  3. Step 3: Cross multiply
    3,856.61x = 5,770.70 × 2,727.54
  4. Step 4: Simplify right side
    3,856.61x = 15,739,815.08
  5. Step 5: Solve for x
    x = 15,739,815.08/3,856.61
  6. Step 6: Final answer
    x = 4,081.26

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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.