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Finding the Fourth Proportional to 3,092.63, 4,268.51 and 2,419.10

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Solution

The fourth proportional to 3,092.63, 4,268.51 and 2,419.10 is: 3,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.63 : 4,268.51 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    3,092.63/4,268.51 = 2,419.10/x
  3. Step 3: Cross multiply
    3,092.63x = 4,268.51 × 2,419.10
  4. Step 4: Simplify right side
    3,092.63x = 10,325,919.10
  5. Step 5: Solve for x
    x = 10,325,919.10/3,092.63
  6. Step 6: Final answer
    x = 3,338.88

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Why These Related Problems?

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