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Finding the Fourth Proportional to 4,765.87, 7,147.93 and 1,991.80

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Solution

The fourth proportional to 4,765.87, 7,147.93 and 1,991.80 is: 2,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.87 : 7,147.93 = 1,991.80 : x
  2. Step 2: Convert to fraction form
    4,765.87/7,147.93 = 1,991.80/x
  3. Step 3: Cross multiply
    4,765.87x = 7,147.93 × 1,991.80
  4. Step 4: Simplify right side
    4,765.87x = 14,237,234.56
  5. Step 5: Solve for x
    x = 14,237,234.56/4,765.87
  6. Step 6: Final answer
    x = 2,987.33

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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.