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Finding the Fourth Proportional to 5,696.88, 7,861.64 and 3,212.88

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Solution

The fourth proportional to 5,696.88, 7,861.64 and 3,212.88 is: 4,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.88 : 7,861.64 = 3,212.88 : x
  2. Step 2: Convert to fraction form
    5,696.88/7,861.64 = 3,212.88/x
  3. Step 3: Cross multiply
    5,696.88x = 7,861.64 × 3,212.88
  4. Step 4: Simplify right side
    5,696.88x = 25,258,489.86
  5. Step 5: Solve for x
    x = 25,258,489.86/5,696.88
  6. Step 6: Final answer
    x = 4,433.74

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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.