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Finding the Fourth Proportional to 3,861.96, 5,330.78 and 2,448

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Solution

The fourth proportional to 3,861.96, 5,330.78 and 2,448 is: 3,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.96 : 5,330.78 = 2,448 : x
  2. Step 2: Convert to fraction form
    3,861.96/5,330.78 = 2,448/x
  3. Step 3: Cross multiply
    3,861.96x = 5,330.78 × 2,448
  4. Step 4: Simplify right side
    3,861.96x = 13,049,749.44
  5. Step 5: Solve for x
    x = 13,049,749.44/3,861.96
  6. Step 6: Final answer
    x = 3,379.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.