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Finding the Fourth Proportional to 2,844, 4,268.40 and 2,115

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Solution

The fourth proportional to 2,844, 4,268.40 and 2,115 is: 3,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 4,268.40 = 2,115 : x
  2. Step 2: Convert to fraction form
    2,844/4,268.40 = 2,115/x
  3. Step 3: Cross multiply
    2,844x = 4,268.40 × 2,115
  4. Step 4: Simplify right side
    2,844x = 9,027,666
  5. Step 5: Solve for x
    x = 9,027,666/2,844
  6. Step 6: Final answer
    x = 3,174.28

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Why These Related Problems?

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