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Finding the Fourth Proportional to 5,151.96, 7,722 and 2,685.96

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Solution

The fourth proportional to 5,151.96, 7,722 and 2,685.96 is: 4,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.96 : 7,722 = 2,685.96 : x
  2. Step 2: Convert to fraction form
    5,151.96/7,722 = 2,685.96/x
  3. Step 3: Cross multiply
    5,151.96x = 7,722 × 2,685.96
  4. Step 4: Simplify right side
    5,151.96x = 20,740,983.12
  5. Step 5: Solve for x
    x = 20,740,983.12/5,151.96
  6. Step 6: Final answer
    x = 4,025.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.