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Finding the Fourth Proportional to 5,696, 7,861.20 and 3,212

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Solution

The fourth proportional to 5,696, 7,861.20 and 3,212 is: 4,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696 : 7,861.20 = 3,212 : x
  2. Step 2: Convert to fraction form
    5,696/7,861.20 = 3,212/x
  3. Step 3: Cross multiply
    5,696x = 7,861.20 × 3,212
  4. Step 4: Simplify right side
    5,696x = 25,250,174.40
  5. Step 5: Solve for x
    x = 25,250,174.40/5,696
  6. Step 6: Final answer
    x = 4,432.97

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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.