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Finding the Fourth Proportional to 2,427.62, 3,350.40 and 1,379.84

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Solution

The fourth proportional to 2,427.62, 3,350.40 and 1,379.84 is: 1,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.62 : 3,350.40 = 1,379.84 : x
  2. Step 2: Convert to fraction form
    2,427.62/3,350.40 = 1,379.84/x
  3. Step 3: Cross multiply
    2,427.62x = 3,350.40 × 1,379.84
  4. Step 4: Simplify right side
    2,427.62x = 4,623,015.94
  5. Step 5: Solve for x
    x = 4,623,015.94/2,427.62
  6. Step 6: Final answer
    x = 1,904.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.