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Finding the Fourth Proportional to 5,329.86, 7,998.42 and 2,734.62

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Solution

The fourth proportional to 5,329.86, 7,998.42 and 2,734.62 is: 4,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.86 : 7,998.42 = 2,734.62 : x
  2. Step 2: Convert to fraction form
    5,329.86/7,998.42 = 2,734.62/x
  3. Step 3: Cross multiply
    5,329.86x = 7,998.42 × 2,734.62
  4. Step 4: Simplify right side
    5,329.86x = 21,872,639.30
  5. Step 5: Solve for x
    x = 21,872,639.30/5,329.86
  6. Step 6: Final answer
    x = 4,103.79

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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.