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Finding the Fourth Proportional to 2,977.68, 4,091.96 and 2,416.96

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Solution

The fourth proportional to 2,977.68, 4,091.96 and 2,416.96 is: 3,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.68 : 4,091.96 = 2,416.96 : x
  2. Step 2: Convert to fraction form
    2,977.68/4,091.96 = 2,416.96/x
  3. Step 3: Cross multiply
    2,977.68x = 4,091.96 × 2,416.96
  4. Step 4: Simplify right side
    2,977.68x = 9,890,103.64
  5. Step 5: Solve for x
    x = 9,890,103.64/2,977.68
  6. Step 6: Final answer
    x = 3,321.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.