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Finding the Fourth Proportional to 5,711.64, 7,881.96 and 3,193.96

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Solution

The fourth proportional to 5,711.64, 7,881.96 and 3,193.96 is: 4,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.64 : 7,881.96 = 3,193.96 : x
  2. Step 2: Convert to fraction form
    5,711.64/7,881.96 = 3,193.96/x
  3. Step 3: Cross multiply
    5,711.64x = 7,881.96 × 3,193.96
  4. Step 4: Simplify right side
    5,711.64x = 25,174,664.96
  5. Step 5: Solve for x
    x = 25,174,664.96/5,711.64
  6. Step 6: Final answer
    x = 4,407.61

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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.