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Finding the Fourth Proportional to 5,595, 8,396.34 and 1,947

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Solution

The fourth proportional to 5,595, 8,396.34 and 1,947 is: 2,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595 : 8,396.34 = 1,947 : x
  2. Step 2: Convert to fraction form
    5,595/8,396.34 = 1,947/x
  3. Step 3: Cross multiply
    5,595x = 8,396.34 × 1,947
  4. Step 4: Simplify right side
    5,595x = 16,347,673.98
  5. Step 5: Solve for x
    x = 16,347,673.98/5,595
  6. Step 6: Final answer
    x = 2,921.84

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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.