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Finding the Fourth Proportional to 2,840.64, 3,914.64 and 2,367.60

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Solution

The fourth proportional to 2,840.64, 3,914.64 and 2,367.60 is: 3,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 3,914.64 = 2,367.60 : x
  2. Step 2: Convert to fraction form
    2,840.64/3,914.64 = 2,367.60/x
  3. Step 3: Cross multiply
    2,840.64x = 3,914.64 × 2,367.60
  4. Step 4: Simplify right side
    2,840.64x = 9,268,301.66
  5. Step 5: Solve for x
    x = 9,268,301.66/2,840.64
  6. Step 6: Final answer
    x = 3,262.75

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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.