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Finding the Fourth Proportional to 11,777.60, 17,655.42 and 3,980.96

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Solution

The fourth proportional to 11,777.60, 17,655.42 and 3,980.96 is: 5,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.60 : 17,655.42 = 3,980.96 : x
  2. Step 2: Convert to fraction form
    11,777.60/17,655.42 = 3,980.96/x
  3. Step 3: Cross multiply
    11,777.60x = 17,655.42 × 3,980.96
  4. Step 4: Simplify right side
    11,777.60x = 70,285,520.80
  5. Step 5: Solve for x
    x = 70,285,520.80/11,777.60
  6. Step 6: Final answer
    x = 5,967.73

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