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Finding the Fourth Proportional to 5,945.91, 8,203.48 and 3,956.78

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Solution

The fourth proportional to 5,945.91, 8,203.48 and 3,956.78 is: 5,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.91 : 8,203.48 = 3,956.78 : x
  2. Step 2: Convert to fraction form
    5,945.91/8,203.48 = 3,956.78/x
  3. Step 3: Cross multiply
    5,945.91x = 8,203.48 × 3,956.78
  4. Step 4: Simplify right side
    5,945.91x = 32,459,376.21
  5. Step 5: Solve for x
    x = 32,459,376.21/5,945.91
  6. Step 6: Final answer
    x = 5,459.11

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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.