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Finding the Fourth Proportional to 2,845.60, 4,268.40 and 2,505.40

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Solution

The fourth proportional to 2,845.60, 4,268.40 and 2,505.40 is: 3,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.60 : 4,268.40 = 2,505.40 : x
  2. Step 2: Convert to fraction form
    2,845.60/4,268.40 = 2,505.40/x
  3. Step 3: Cross multiply
    2,845.60x = 4,268.40 × 2,505.40
  4. Step 4: Simplify right side
    2,845.60x = 10,694,049.36
  5. Step 5: Solve for x
    x = 10,694,049.36/2,845.60
  6. Step 6: Final answer
    x = 3,758.10

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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.