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Finding the Fourth Proportional to 3,410.42, 5,115.90 and 1,950.80

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Solution

The fourth proportional to 3,410.42, 5,115.90 and 1,950.80 is: 2,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.42 : 5,115.90 = 1,950.80 : x
  2. Step 2: Convert to fraction form
    3,410.42/5,115.90 = 1,950.80/x
  3. Step 3: Cross multiply
    3,410.42x = 5,115.90 × 1,950.80
  4. Step 4: Simplify right side
    3,410.42x = 9,980,097.72
  5. Step 5: Solve for x
    x = 9,980,097.72/3,410.42
  6. Step 6: Final answer
    x = 2,926.35

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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.